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Applicability of the continuum-discretized coupled-channels method to the deuteron breakup at low energiesJul 18 2016Aug 19 2016We re-examine the deuteron elastic breakup cross sections on 12C and 10Be at low incident energies, for which a serious discrepancy between the continuum-discretized coupled-channels method (CDCC) and the Faddeev-Alt-Grassberger-Sandhas theory (FAGS) ... More

Non-Commutative Geometry in Higher Dimensional Quantum Hall Effect as A-Class Topological InsulatorAug 04 2014We clarify relations between the higher dimensional quantum Hall effect and A-class topological insulator. In particular, we elucidate physical implications of the higher dimensional non-commutative geometry in the context of A-class topological insulator. ... More

Graded Hopf Maps and Fuzzy SuperspheresJun 24 2011Aug 26 2011We argue supersymmetric generalizations of fuzzy two- and four-spheres based on the unitary-orthosymplectic algebras, $uosp(N|2)$ and $uosp(N|4)$, respectively. Supersymmetric version of Schwinger construction is applied to derive graded fully symmetric ... More

Hyperbolic Supersymmetric Quantum Hall EffectSep 29 2008Jan 26 2009Developing a non-compact version of the SUSY Hopf map, we formulate the quantum Hall effect on a super-hyperboloid. Based on $OSp(1|2)$ group theoretical methods, we first analyze the one-particle Landau problem, and successively explore the many-body ... More

Non-Compact Hopf Maps and Fuzzy Ultra-HyperboloidsJul 09 2012Sep 14 2012Fuzzy hyperboloids naturally emerge in the geometries of D-branes, twistor theory, and higher spin theories. In this work, we perform a systematic study of higher dimensional fuzzy hyperboloids (ultra-hyperboloids) based on non-compact Hopf maps. Two ... More

Singularity results for functional equations driven by linear fractional transformationsMay 16 2012Sep 22 2013We consider functional equations driven by linear fractional transformations, which are special cases of de Rham's functional equations. We consider Hausdorff dimension of the measure whose distribution function is the solution. We give a necessary and ... More

Toric ideals of series and parallel connections of matroidsDec 12 2013Jun 20 2015In 1980, White conjectured that the toric ideal associated to a matroid is generated by binomials corresponding to a symmetric exchange. In this paper, we prove that classes of matroids for which the toric ideal is generated by quadrics and that has quadratic ... More

Hopf Maps, Lowest Landau Level, and Fuzzy SpheresSep 07 2010Oct 12 2010This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres. Generalization of complex numbers to Clifford algebra ... More

Unification of Laughlin and Moore-Read States in SUSY Quantum Hall EffectMay 31 2007May 07 2008Based on the recently proposed SUSY quantum Hall effect, we show that Laughlin and Moore-Read states are related by a hidden SUSY transformation. Regarding the SUSY Laughlin wavefunction as a master wavefunction, Laughlin and Moore-Read states appear ... More

Quantum Hall Liquid on a Noncommutative SuperplaneMar 22 2005Feb 17 2006Supersymmetric quantum Hall liquids are constructed on a noncommutative superplane. We explore a supersymmetric formalism of the Landau problem. In the lowest Landau level, there appear spin-less bosonic states and spin-1/2 down fermionic states, which ... More

The Split-Algebras and Non-compact Hopf MapsMay 18 2009May 25 2010We develop a noncompact version of the Hopf maps based on the split algebras. The split algebras consist of three species: split-complex numbers, split quaternions, and split octonions. They correspond to three noncompact Hopf maps that represent topological ... More

Geometrical Construction of Supertwistor TheoryMay 18 2008Supertwistor theory is geometrically constructed based on the SUSY Hopf map. We derive a new incidence relation for the geometrical supertwistor theory. The present supertwistor exhibits remarkable properties: Minkowski space need not be complexified ... More

Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall LiquidJun 01 2006Aug 27 2006We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid. Supersymmetric counterparts of topological and gauge structures peculiar to the Chern-Simons theory are inspected ... More

Supersymmetric Quantum Hall Effect on Fuzzy SupersphereNov 15 2004Apr 21 2005Supersymmetric quantum Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wavefunction, which is a ground state of a hard-core $OSp(1|2)$ invariant Hamiltonian. We also ... More

A Review on Tachyon Condensation in Open String Field TheoriesFeb 15 2001May 07 2001We review the recent studies of tachyon condensation in string field theory. After introducing the open string field theory both for bosonic string and for superstring, we use them to examine the conjecture that the unstable configurations of the D-brane ... More

On Ghost Structure of Vacuum Superstring Field TheoryAug 01 2002Nov 07 2002After discussing the general form of the kinetic operator around the tachyon vacuum, we determine the specific form of the pure-ghost kinetic operator Q^ by requiring the twist invariance of the action. We obtain a novel result that the Grassmann-even ... More

Relativistic Landau Models and Generation of Fuzzy SpheresNov 15 2015Aug 23 2016Non-commutative geometry naturally emerges in low energy physics of Landau models as a consequence of level projection. In this work, we proactively utilize the level projection as an effective tool to generate fuzzy geometry. The level projection is ... More

Higher Dimensional Quantum Hall Effect as A-Class Topological InsulatorMar 20 2014Aug 02 2014We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry. There are two different formulations of non-commutative geometry for higher dimensional ... More

SUSY Quantum Hall Effect on Non-Anti-Commutative GeometryOct 01 2007Feb 22 2008We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds. On each of supersphere and ... More

The second homology group of the homological Goldman Lie algebraJul 13 2012Dec 12 2012We determine the second homology group of the homological Goldman Lie algebra for an oriented surface.

Comments on Solutions of Vacuum Superstring Field TheoryApr 17 2002Aug 01 2002We study classical solutions of vacuum version of Berkovits' superstring field theory, focusing on the (super)ghost sector. We first argue that the supersliver state which is annihilated by eta_0, though it has the correct quantum numbers and solves the ... More

Toward Open-Closed String Theoretical Description of Rolling TachyonJun 11 2003Jul 16 2003We consider how the time-dependent decay process of an unstable D-brane should be described in the full (quantum) open-closed string theory. It is argued that the system, starting from the unstable D-brane configuration, will evolve in time into the time-independent ... More

Split-Quaternionic Hopf Map, Quantum Hall Effect, and Twistor TheoryFeb 15 2009Feb 18 2010Introducing a non-compact version of the Hopf map, we demonstrate remarkable close relations between quantum Hall effect and twistor theory. We first construct quantum Hall effect on a hyperboloid based on the noncompact 2nd Hopf map of split-quaternions. ... More

Enlargement of subgraphs of infinite graphs by Bernoulli percolationJun 19 2015Jun 10 2017We consider changes in properties of a subgraph of an infinite graph resulting from the addition of open edges of Bernoulli percolation on the infinite graph to the subgraph. We give the triplet of an infinite graph, one of its subgraphs, and a property ... More

Unions of random walk and percolation on infinite graphsNov 13 2016May 30 2018We consider a random object that is associated with both random walks and random media, specifically, the superposition of a configuration of subcritical Bernoulli percolation on an infinite connected graph and the trace of the simple random walk on the ... More

Level-Expansion Analysis in NS Superstring Field Theory RevisitedMay 13 2003May 15 2003We study the level-expansion structure of the NS string field theory actions, mainly focusing on the modified (i.e. 0-picture in the NS sector) cubic superstring field theory. This theory has a non-trivial structure already at the quadratic level due ... More

Survey of the Tachyonic Lump in Bosonic String Field TheoryJun 08 2001Jun 15 2001We study some properties of the tachyonic lumps in the level truncation scheme of bosonic cubic string field theory. We find that several gauges work well and that the size of the lump as well as its tension is approximately independent of these gauge ... More

Supersymmetric Quantum Hall Liquid with a Deformed SupersymmetryJan 13 2009Feb 18 2010We construct a supersymmetric quantum Hall liquid with a deformed supersymmetry. One parameter is introduced in the supersymmetric Laughlin wavefunction to realize the original Laughlin wavefunction and the Moore-Read wavefunction in two extremal limits ... More

Investigating the alpha-clustering on the surface of $^{120}$Sn via ($p$,$pα$) reaction and the validity of the factorization approximationMar 02 2016Sep 28 2016The $^{120}$Sn($p$,$p\alpha$)$^{116}$Cd reaction at 392 MeV is investigated with the distorted wave impulse approximation (DWIA) framework. We show that this reaction is very peripheral mainly because of the strong absorption of $\alpha$ by the reaction ... More

Asymmetry of the parallel momentum distribution of (p,pN) reaction residuesMay 25 2015Oct 08 2015The parallel momentum distribution (PMD) of the residual nuclei of the 14O(p,pn)13O and 14O(p,2p)13N reactions at 100 and 200 MeV/nucleon in inverse kinematics is investigated with the framework of the distorted wave impulse approximation. The PMD shows ... More

CFT Description of Identity String Field: Toward Derivation of the VSFT ActionDec 19 2001Jan 05 2002We concretely define the identity string field as a surface state and deal with it consistently in terms of conformal field theory language, never using its formal properties nor oscillator representation of it. The generalized gluing and resmoothing ... More

LHC constraints on Yukawa unification in SO(10)Dec 20 2011Feb 23 2012LHC constraints on the recently proposed SUSY SO(10) GUT model with top-bottom-tau Yukawa unification are investigated. In this model, various phenomenological constraints are in concord with the Yukawa unification thanks to the negative sign of \mu, ... More

Direct probing of the cluster structure in ${}^{12}$Be via $α$-knockout reactionFeb 08 2019Background: Recent theoretical and experimental researches using proton-induced $\alpha$-knockout reactions provide direct manifestation of $\alpha$-cluster formation in nuclei. In recent and future experiments, $\alpha$-knockout data are available for ... More

Manifestation of α-clustering in $^{10}$Be via α-knockout reactionDec 28 2017Apr 01 2018Background: Proton-induced {\alpha}-knockout reactions empower direct experimental manifestations of {\alpha}-clustering in nuclei. This is obtained by relating the theoretical descriptions of clustering states with experimental reaction observables. ... More

Probing three-nucleon-force effects via (p,2p) reactionsApr 28 2017We propose to use proton knockout reactions (p,2p) from a deeply bound orbit as a new probe into three-nucleon-force (3NF) effects. The remarkable advantage of using (p,2p) reaction is that we can choose an appropriate kinematical condition to probe the ... More

Quantum Entanglement and Topological Order in Hole-Doped Valence Bond Solid StatesOct 01 2012Mar 02 2013We present a detailed analysis of topological properties of the valence bond solid (VBS) states doped with fermionic holes. As concrete examples, we consider the supersymmetric extension of the SU(2)- and the SO(5) VBS states, dubbed UOSp(1|2) and UOSp(1|4) ... More

A birational embedding with two Galois points for certain Artin-Schreier curvesDec 21 2017We show that two curves of Artin-Schreier type have a birational embedding into a projective plane with two Galois points. As a consequence, all curves with large automorphism groups in the classification list by Henn have a birational embedding with ... More

Systematic study for gas-to-dust ratio of short gamma-ray burst afterglowsMar 14 2019Extra-galactic X-ray absorption and optical extinction are often found in gamma-ray burst (GRB) afterglows and they could be tracers of both circumburst and host galaxy environments. By performing spectral analyses for spectral energy distribution of ... More

Microscopic effective reaction theory for deuteron-induced reactionsJul 21 2016Sep 28 2016The microscopic effective reaction theory is applied to deuteron-induced reactions. A reaction model-space characterized by a $p+n+{\rm A}$ three-body model is adopted, where A is the target nucleus, and the nucleon-target potential is described by a ... More

Extracting electric dipole breakup cross section of one-neutron halo nuclei from breakup observablesDec 27 2013Jul 25 2014How to extract an electric dipole (E1) breakup cross section \sigma(E1) from one- neutron removal cross sections measured by using 12C and 208Pb targets, \sigma_(-1n)^C and \sigma_(-1n)^Pb, respectively, is discussed. It is shown that within about 5% ... More

Direct probing of the cluster structure in ${}^{12}$Be via $α$-knockout reactionFeb 08 2019Feb 14 2019Background: Recent theoretical and experimental researches using proton-induced $\alpha$-knockout reactions provide direct manifestation of $\alpha$-cluster formation in nuclei. In recent and future experiments, $\alpha$-knockout data are available for ... More

Investigation of $α$ clustering with knockout reactionsDec 25 2017Aug 11 2018Our goal is to reveal how the $\alpha$ cluster amplitude is probed through $\alpha$ knockout reactions depending on reaction conditions, e.g., the incident energy. We consider $^{20}$Ne($p$,$p\alpha$)$^{16}$O and $^{120}$Sn($p$,$p\alpha$)$^{116}$Cd at ... More

Search for Sphalerons in Proton-Proton CollisionsJan 14 2016In a recent paper, Tye and Wong (TW) have argued that sphaleron-induced transitions in high-energy proton-proton collisions should be enhanced compared to previous calculations, based on a construction of a Bloch wave function in the periodic sphaleron ... More

Bubble cloud dynamics in an ultrasound fieldApr 30 2018The dynamics of bubble clouds induced by high-intensity focused ultrasound are investigated in a regime where the cloud size is similar to the ultrasound wavelength. High-speed images show that the cloud is asymmetrical; the bubbles nearest the source ... More

Eulerian-Lagrangian method for simulation of cloud cavitationDec 02 2017Dec 05 2017We present a coupled Eulerian-Lagrangian method to simulate cloud cavitation in a compressible liquid. The method is designed to capture the strong, volumetric oscillations of each bubble and the bubble-scattered acoustics. The dynamics of the bubbly ... More

Direct Connection between the R_{II} Chain and the Nonautonomous Discrete Modified KdV LatticeSep 19 2013Nov 26 2013The spectral transformation technique for symmetric R_{II} polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the R_{II} chain. Hankel determinant solutions ... More

Quantum Zeno and anti-Zeno effects by indirect measurement with finite errorsOct 05 2002We study the quantum Zeno effect and the anti-Zeno effect in the case of `indirect' measurements, where a measuring apparatus does not act directly on an unstable system, for a realistic model with finite errors in the measurement. A general and simple ... More

Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-GeometryMar 10 2013Apr 27 2013Recent vigorous investigations of topological order have not only discovered new topological states of matter but also shed new light to "already known" topological states. One established example with topological order is the valence bond solid (VBS) ... More

Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundaryMay 14 2018We introduce rigid syntomic cohomology for strictly semistable log schemes over a complete discrete valuation ring of mixed characteristic (0,p). In case a good compactification exists, we compare this cohomology theory to Nekov\'a\v{r}-Nizio{\l}'s crystalline ... More

Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States -- Super-Matrix Product State FormalismMay 18 2011May 19 2011Supersymmetric valence bond solid models are extensions of the VBS model, a paradigmatic model of `solvable' gapped quantum antiferromagnets, to the case with doped fermionic holes. In this paper, we present a detailed analysis of physical properties ... More

Triple Higgs boson production at a 100 TeV proton-proton colliderAug 26 2015Feb 01 2016We consider triple Higgs boson production at a future 100 TeV proton-proton collider. We perform a survey of viable final states and compare and contrast triple production to Higgs boson pair production. Focussing on the $hhh \rightarrow (b\bar{b}) (b\bar{b}) ... More

Dimensional Hierarchy in Quantum Hall Effects on Fuzzy SpheresOct 30 2003Feb 02 2004We construct higher dimensional quantum Hall systems based on fuzzy spheres. It is shown that fuzzy spheres are realized as spheres in colored monopole backgrounds. The space noncommutativity is related to higher spins which is originated from the internal ... More

Smooth Fano polytopes whose Ehrhart polynomial has a root with large real partSep 05 2011Nov 02 2011The symmetric edge polytopes of odd cycles (del Pezzo polytopes) are known as smooth Fano polytopes. In this paper, we show that if the length of the cycle is 127, then the Ehrhart polynomial has a root whose real part is greater than the dimension. As ... More

Galois lines for the Giulietti--Korchmáros curveApr 11 2018We describe the arrangement of all Galois lines for the Giulietti--Korchm\'{a}ros curve in the projective $3$-space. As an application, we determine the set of all Galois points for a plane model of the GK curve. This curve possesses many Galois points. ... More

Controlling ISR in sparticle mass reconstructionAug 10 2010Aug 12 2010Use of inclusive MT2 distribution for sparticle mass determination is discussed. We define new parameters MT2(min) and MT2mod(min), which are a kind of minimum of sub-systerm MT2 values. Their endpoints are less affected by initial state radiations. We ... More

Asymptotic and Numerical Analysis of Multiserver Retrial Queue with Guard Channel for Cellular NetworksMay 08 2014This paper considers a retrial queueing model for a base station in cellular networks where fresh calls and handover calls are available. Fresh calls are initiated from the cell of the base station. On the other hand, a handover call has been connecting ... More

Information storage capacity of discrete spin systemsNov 14 2011Dec 24 2012Understanding the limits imposed on information storage capacity of physical systems is a problem of fundamental and practical importance which bridges physics and information science. There is a well-known upper bound on the amount of information that ... More

Structure Formation in the Early UniverseJun 23 2009The standard theory of cosmic structure formation posits that the present-day rich structure of the Universe developed through gravitational amplification of tiny matter density fluctuations generated in its very early history. Recent observations of ... More

Decay properties of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with degenerate flux and viscosityNov 24 2014In this paper, we study the precise decay rate in time to solutions of the Cauchy problem for the one-dimensional conservation law with a nonlinearly degenerate viscosity where the far field states are prescribed. Especially, we deal with the case when ... More

Local torus actions modeled on the standard representationOct 11 2007Jun 02 2011We introduce the notion of a local torus action modeled on the standard representation (for simplicity, we call it a local torus action). It is a generalization of a locally standard torus action and also an underlying structure of a locally toric Lagrangian ... More

On non-abelian Lubin-Tate theory via vanishing cyclesApr 21 2004May 18 2010We give a purely local proof, in the depth 0 case, of the result by Harris-Taylor which asserts that the local Langlands correspondence for GL_n over a p-adic field K realizes itself inside the vanishing cycle cohomology of the deformation space of formal ... More

Maximizing a Monotone Submodular Function with a Bounded Curvature under a Knapsack ConstraintJul 15 2016We consider the problem of maximizing a monotone submodular function under a knapsack constraint. We show that, for any fixed $\epsilon > 0$, there exists a polynomial-time algorithm with an approximation ratio $1-c/e-\epsilon$, where $c \in [0,1]$ is ... More

Lower Bounds on Query Complexity for Testing Bounded-Degree CSPsJul 19 2010In this paper, we consider lower bounds on the query complexity for testing CSPs in the bounded-degree model. First, for any ``symmetric'' predicate $P:{0,1}^{k} \to {0,1}$ except \equ where $k\geq 3$, we show that every (randomized) algorithm that distinguishes ... More

Testing List H-HomomorphismsJun 16 2011Let $H$ be an undirected graph. In the List $H$-Homomorphism Problem, given an undirected graph $G$ with a list constraint $L(v) \subseteq V(H)$ for each variable $v \in V(G)$, the objective is to find a list $H$-homomorphism $f:V(G) \to V(H)$, that is, ... More

Ultra-Relativistic Hamiltonian with Various Singular PotentialsAug 20 1999It is shown from a simple scaling invariance that the ultra-relativistic Hamiltonian (mu=0) does not have bound states when the potential is Coulombic. This supplements the application of the relativistic virial theorem derived by Lucha and Schoeberl ... More

Cosmic Structure Formation at Low and High RedshiftsAug 23 2005The currently standard theory of cosmic structure formation posits that the present-day clumpy appearance of the universe developed through gravitational amplification of the matter density fluctuations that are generated in the very early universe. The ... More

Finite source effect on the polarization degree induced by a single microlensAug 19 2005We investigate the effect of a single microlens on Stokes parameters. Semi-analytical formulae of the microlensed Stokes parameters are derived. The formulae not only reduce the double integrals in the estimations of those quantities but can also be approximated ... More

Barvinok's Rational Functions: Algorithms and Applications to Optimization, Statistics, and AlgebraJun 15 2004The main theme of this dissertation is the study of the lattice points in a rational convex polyhedron and their encoding in terms of Barvinok's short rational functions. The first part of this thesis looks into theoretical applications of these rational ... More

HERA Small-x and/or DiffractionFeb 21 2001Apr 03 2001Recent HERA data on small-x structure functions as well as DIS diffraction and diffractive vector meson production are presented. The relationship between these processes and possible indications of dynamics beyond the DGLAP formalism are discussed.

Suddenly shortened half-lives beyond $^{78}$Ni: $N=50$ magic number and high-energy non-unique first-forbidden transitionsMar 08 2019$\beta$-decay rates play a decisive role in understanding the nucleosynthesis of heavy elements and are governed by microscopic nuclear-structure information. A sudden shortening of the half-lives of Ni isotopes beyond $N=50$ was observed at the RIKEN-RIBF. ... More

Nonperturbative Aspect In N=2 Supersymmetric Noncommutative Yang-Mills TheorySep 06 2000We investigate asymptotic behaviors of the strong coupling limit in the N=2 supersymmetric non-commutative Yang-Mills theory. The strong coupling behavior is quite different from the commutative one since the non-commutative dual U(1) theory is asymptotic ... More

Categories of operators and actions of group operadsJul 05 2018We propose a new model for multicategories with symmetries with respect to Zhang's group operads. The fully faithful embedding of the category of group operads into that of crossed interval groups is made use of, and it is shown that every multicategory ... More

On Calculations of Zeros of Various L-functionsNov 09 1994As we have shown several years ago [Y2], zeros of $L(s, \Delta )$ and $L^(2)(s, \Delta )$ can be calculated quite efficiently by a certain experimental method. Here $\Delta$ denotes the cusp form of weight 12 with respect to SL$(2, Z)$ and $L(s, \Delta ... More

A W(E_6)-equivariant projective embedding of the moduli space of cubic surfacesFeb 13 2000An explicit projective embedding of the moduli space of marked cubic surfaces is given. This embedding is equivariant under the Weyl group of type E6. The image is defined by a system of linear and cubic equations. To express the embedding in a most symmetric ... More

Topological color code and symmetry-protected topological phasesMar 24 2015Sep 02 2015We study $(d-1)$-dimensional excitations in the $d$-dimensional color code that are created by transversal application of the $R_{d}$ phase operators on connected subregions of qubits. We find that such excitations are superpositions of electric charges ... More

On the action of algebraic correspondences on weight spectral sequencesSep 10 2011In a work of T. Saito, the action of algebraic correspondences on the etale cohomology of varieties over local fields with semistable reduction is related to correspondences on smaller strata via weight spectral sequences. We give an intersection theoretic ... More

Q-Networks for Binary Vector ActionsDec 04 2015In this paper reinforcement learning with binary vector actions was investigated. We suggest an effective architecture of the neural networks for approximating an action-value function with binary vector actions. The proposed architecture approximates ... More

Decay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosityNov 24 2014In this paper, we study the decay rate in time to solutions of the Cauchy problem for the one-dimensional viscous conservation law where the far field states are prescribed. Especially, we deal with the case that the flux function which is convex and ... More

Asymptotic expansion for the quadratic form of the diffusion processDec 23 2012In [8], asymptotic expansion of the martingale with mixed normal limit was provided. The expansion formula is expressed by the adjoint of a random symbol with coefficients described by the Malliavin calculus, differently from the standard invariance principle. ... More

Local class field theory via Lubin-Tate theoryJun 05 2006Oct 13 2008We give a self-contained proof of local class field theory, via Lubin-Tate theory and the Hasse-Arf theorem, refining the arguments of Iwasawa's book. In the revised version, (i) positive characteristic case is included, (ii) the proof of base change ... More

An ultrametric space of Eisenstein polynomials and ramification theoryMay 26 2011Sep 04 2011We give a criterion whether given Eisenstein polynomials over a local field K define the same extension over K in terms of a certain non-Archimedean metric on the set of polynomials. The criterion and its proof depend on ramification theory.

Abelian etale coverings of modular curves over local fieldsMay 22 2004We relate a part of the abelian etale fundamental group of curves over local fields to the component group of the Neron model of the jacobian. We apply the result to the modular curve X_0(p)/Q_p to show that the unramified abelian covering X_1(p) over ... More

Group operads as crossed interval groupsJun 08 2018The goal of the paper is to establish and to investigate a fully faithful embedding of the category of group operads into that of crossed interval groups. For this, we introduce a monoidal structure on the slice of the category of operads over the operad ... More

A general method to construct cube-like categories and applications to homotopy theoryFeb 26 2015In this paper, we introduce a method to construct new categories which look like "cubes", and discuss model structures on the presheaf categories over them. First, we introduce a notion of thin-powered structure on small categories, which provides a generalized ... More

Charge-exchange dipole excitations in neutron-rich nuclei: $-1 \hbar ω_0$, anti-analog pygmy, and anti-analog giant resonancesSep 29 2017The occurrence of the low-lying charge-exchange non spin-flip dipole modes below the giant resonance in neutron-rich nuclei is predicted on the basis of nuclear density functional theory. The ground and excited states are described in the framework of ... More

Gowers Norm, Function Limits, and Parameter EstimationOct 19 2014Mar 26 2015Let $\{f_i:\mathbb{F}_p^i \to \{0,1\}\}$ be a sequence of functions, where $p$ is a fixed prime and $\mathbb{F}_p$ is the finite field of order $p$. The limit of the sequence can be syntactically defined using the notion of ultralimit. Inspired by the ... More

Factorization of 4d N=1 superconformal indexMar 04 2014We study the factorization of four dimensional N=1 superconformal index for U(N) (SU(N)) SQCD with N_F fundamental and anti-fundamental chiral multiplets. When both the anomaly free R-charge assignment and the traceless condition for total vorticities ... More

A Characterization of Locally Testable Affine-Invariant Properties via Decomposition TheoremsFeb 10 2014Let $\mathcal{P}$ be a property of function $\mathbb{F}_p^n \to \{0,1\}$ for a fixed prime $p$. An algorithm is called a tester for $\mathcal{P}$ if, given a query access to the input function $f$, with high probability, it accepts when $f$ satisfies ... More

Geometrical Analysis of Brane Creation via M-TheoryNov 24 1997A geometrical analysis is given of Dirichlet fourbrane creation, when sixbrane crosses fivebrane in M-theory. A special property of the Taub-NUT space leads to the consequence. When brane configurations are considered for four dimensional N=2 field theories, ... More

Dynamical Symmetry Breaking with Large Anomalous Dimension in Gauge TheoriesSep 10 1995An analysis is given of the dynamical symmetry breaking of semi-simple gauge groups. We construct a class of renormalizable gauge theories for the dynamically broken topcolor and technicolor interactions. It is shown that a four-Fermi interaction in the ... More

On Instanton Calculations of N=2 Supersymmetric Yang-Mills TheoryOct 28 1996Instanton calculations are demonstrated from a viewpoint of twisted topological field theory. Various properties become manifest such that perturbative corrections are terminated at one-loop, and norm cancellations occur between bosonic and fermionic ... More

Cohomology and L-valuesDec 21 2010In a paper published in 1959, Shimura presented an elegant calculation of the critical values of L-functions attached to elliptic modular forms using the first cohomology group. We will show that a similar calculation is possible for Hilbert modular forms ... More

Localization for Linear Stochastic EvolutionsOct 23 2008Dec 06 2009We consider a discrete-time stochastic growth model on the $d$-dimensional lattice with non-negative real numbers as possible values per site. The growth model describes various interesting examples such as oriented site/bond percolation, directed polymers ... More

Central Limit Theorem for Branching Random Walks in Random EnvironmentDec 05 2007We consider branching random walks in $d$-dimensional integer lattice with time-space i.i.d. offspring distributions. When $d \ge 3$ and the fluctuation of the environment is well moderated by the random walk, we prove a central limit theorem for the ... More

Adiabatic limits, Theta functions, and geometric quantizationApr 08 2019Let $\pi\colon (M,\omega)\to B$ be a (non-singular) Lagrangian torus fibration on a compact, complete base $B$ with prequantum line bundle $(L,\nabla^L)\to (M,\omega)$. For a positive integer $N$ and a compatible almost complex structure $J$ on $(M,\omega)$ ... More

Formulation of the Relativistic Quantum Hall Effect and "Parity Anomaly"Feb 08 2016Jul 29 2016We present a relativistic formulation of the quantum Hall effect on Haldane sphere. An explicit form of the pseudopotential is derived for the relativistic quantum Hall effect with/without mass term. We clarify particular features of the relativistic ... More

Bethe-Salpeter wave functions of $η_c(2S)$ and $ψ(2S)$ states from full lattice QCDAug 08 2016We discuss the internal structure of radially excited charmonium mesons based on the equal-time and Coulomb gauge Bethe-Salpeter (BS) amplitudes, which are obtained in lattice QCD. Our simulations are performed with a relativistic heavy-quark action for ... More

Efficient determination of alloy ground-state structuresJul 07 2014We propose an efficient approach to accurately finding the ground-state structures in alloys based on the cluster expansion method. In this approach, a small number of candidate ground-state structures are obtained without any information of the energy. ... More

Hall Effect and Resistivity in High-Tc Superconductors: The Conserving ApproximationMay 29 1999The Hall coefficient (R_H) of high-Tc cuprates in the normal state shows the striking non-Fermi liquid behavior: R_H follows a Curie-Weiss type temperature dependence, and |R_H|>>1/|ne| at low temperatures in the under-doped compounds. Moreover, R_H is ... More

Observations of High Energy Cosmic-Ray Electrons from 30 GeV to 3 TeV with Emulsion ChambersOct 10 2012We have performed a series of cosmic-ray electron observations using the balloon-borne emulsion chambers since 1968. While we previously reported the results from subsets of the exposures, the final results of the total exposures up to 2001 are presented ... More