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Toward a reliable description of ${(p,pN)}$ reactions in inverse kinematicsAug 02 2019Background: Proton-induced nucleon knockout $(p,pN)$ reactions have been successfully used to study the single-particle nature of stable nuclei in normal kinematics with the distorted-wave impulse approximation (DWIA) framework. Recently, these reactions ... 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

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

Tachyonic Kink and Lump-like Solutions in Superstring Field TheoryApr 26 2001Apr 30 2001We construct a kink solution on a non-BPS D-brane using Berkovits' formulation of superstring field theory in the level truncation scheme. The tension of the kink reproduces 95% of the expected BPS D-brane tension. We also find a lump-like solution which ... 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

Jacobian fibrations on the singular K3 surface of discriminant 3May 14 2014In this paper we give the Weierstrass equations and the generators of Mordell-Weil groups for Jacobian fibrations on the singular K3 surface of discriminant 3.

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

Euler characteristics of differential equations and spectral curvesJul 30 2019We show a coincidence of Euler characteristics of a differential equation with irregular singularities on a compact Riemann surface and the associated spectral curve which is recently called irregular spectral curve. Also we present a comparison of local ... More

Large deviations for simple random walk on percolations with long-range correlationsAug 10 2013Nov 01 2013We show quenched large deviations for the simple random walk on a certain class of percolations with long-range correlations. This class contains the supercritical Bernoulli percolations, the model considered by Drewitz, R'ath and Sapozhnikov and the ... 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

The ideals of the homological Goldman Lie algebraDec 06 2011Jul 17 2012We determine all the ideals of the homological Goldman Lie algebra, which reflects the structure of an oriented surface.

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

Counting orbits of certain infinitely generated non-sharp discontinuous groups acting on the anti-de Sitter spaceJul 19 2019Generalizing an example of Gu\'{e}ritaud-Kassel([Geom.Topol.2017]), we construct a family of infinitely generated groups $\Gamma$ acting isometrically and properly discontinuously on the $3$-dimensional anti-de Sitter space ${\rm AdS}^{3}$. These groups ... 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

On a certain local identity for Lapid-Mao's conjecture and formal degree conjecture : even unitary group caseFeb 13 2019Lapid and Mao formulated a conjecture on an explicit formula of Whittaker Fourier coefficients of automorphic forms on quasi-split classical groups and metaplectic groups as an analogue of Ichino-Ikeda conjecture. They also showed that this conjecture ... 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

Weierstrass equations for Jacobian fibrations on a certain K3 surfaceMay 15 2012Jul 23 2012In this paper we give the Weierstrass equations for Jacobian fibrations on the K3 surface that is the minimal resolution of the double covering of projective plane ramified along generic six lines.

Tidal disruptions of rotating stars by a supermassive black holeJan 17 2019May 25 2019We study tidal disruption events of rotating stars by a supermassive black hole in a galactic nucleus by using a smoothed-particle hydrodynamics (SPH) code. We compare mass infall rates of tidal-disruption debris of a non-rotating and of a rotating star ... 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

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

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

Determining the helicity structure of third generation resonancesDec 16 2011Jul 02 2012We examine methods that have been proposed for determining the helicity structure of decays of new resonances to third generation quarks and/or leptons. We present analytical and semi-analytical predictions and assess the applicability of the relevant ... More

Fuzzy Supersphere and SupermonopoleSep 23 2004Oct 06 2004It is well-known that coordinates of a charged particle in a monopole background become noncommutative. In this paper, we study the motion of a charged particle moving on a supersphere in the presence of a supermonopole. We construct a supermonopole by ... 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

Refined global Gross-Prasad conjecture on special Bessel periods and Boecherer's conjectureNov 17 2016Jan 27 2019In this paper we pursue the refined global Gross-Prasad conjecture for Bessel periods formulated by Yifeng Liu in the case of special Bessel periods for $\mathrm{SO}\left(2n+1\right)\times\mathrm{SO}\left(2\right)$. Recall that a Bessel period for $\mathrm{SO}\left(2n+1\right)\times\mathrm{SO}\left(2\right)$ ... 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

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

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

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

Direct probing of the cluster structure in ${}^{12}$Be via $α$-knockout reactionFeb 08 2019May 07 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

Quantum Zeno Effect for Exponentially Decaying SystemsJul 10 2003The quantum Zeno effect -- suppression of decay by frequent measurements -- was believed to occur only when the response of the detector is so quick that the initial tiny deviation from the exponential decay law is detectable. However, we show that it ... More

Entangling homogeneously broadened matter qubits in the weak-coupling cavity-QED regimeMay 01 2012In distributed quantum information processing, flying photons entangle matter qubits confined in cavities. However, when a matter qubit is homogeneously broadened, the strong-coupling regime of cavity QED is typically required, which is hard to realize ... 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

Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjectureNov 17 2016In this paper we pursue the refined global Gross-Prasad conjecture for Bessel periods formulated by Yifeng Liu in the case of special Bessel periods for $\mathrm{SO}\left(2n+1\right)\times\mathrm{SO}\left(2\right)$. Recall that a Bessel period for $\mathrm{SO}\left(2n+1\right)\times\mathrm{SO}\left(2\right)$ ... More

Aftershocks and Omori's law in a modified Carlson-Langer model with nonlinear visco-elasticityMay 09 2015A modified Carlson-Langer model for earthquakes is proposed, which includes nonlinear visco-elasticity. Several aftershocks are generated after the main shock owing to the damping of the additional visco-elastic force. Both the Gutenberg-Richter law and ... More

Phase-controlled Fourier-transform spectroscopyJul 06 2018Fourier-transform spectroscopy (FTS) has been widely used as a standard analytical technique over the past half-century. FTS is a simple and robust autocorrelation-based technique that is compatible with both temporally coherent and incoherent light sources, ... More

Nature of the randomness-induced quantum spin liquids in two dimensionsJul 14 2019Aug 11 2019The nature of the randomness-induced quantum spin liquid state, the random-singlet state, is investigated in two dimensions (2D) by means of the exact-diagonalization and the Hams-de Raedt methods for several frustrated lattices, e.g., the triangular, ... More

Heterotic Solutions with G2 and Spin(7) StructuresOct 28 2014We study supersymmetric solutions in 7- and 8-dimensional Abelian heterotic supergravity theories. In dimension 7, the solutions are described by $G_{2}$ with torsion equations. When a $G_{2}$ manifold has principal orbits $S^{3} \times S^{3}$, the equations ... 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

A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable systemMar 05 2013A generalized eigenvalue algorithm for tridiagonal matrix pencils is presented. The algorithm appears as the time evolution equation of a nonautonomous discrete integrable system associated with a polynomial sequence which has some orthogonality on the ... 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

Rigid analytic reconstruction of Hyodo--Kato theoryJul 25 2019We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, based on logarithmic rigid cohomology. We show that it is independent of the choice of a uniformiser and study its dependence on the choice of a branch of ... 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

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

Quantitative description of the $^{20}$Ne($p$,$pα$)$^{16}$O cross section for probing the surface $α$ amplitudeMay 16 2019The proton-induced $\alpha$ knockout reaction has been utilized for decades to investigate the $\alpha$ cluster states of nuclei, of the ground state in particular. However, even in recent years, it is reported that the deduced $\alpha$ spectroscopic ... 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

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

Firewalls vs. ScramblingFeb 26 2019Recently we pointed out that the black hole interior operators can be reconstructed by using the Hayden-Preskill recovery protocols. Building on this observation, we propose a resolution of the firewall problem by presenting a state-independent reconstruction ... More

Ramification of local fields and Fontaine's property (Pm)May 08 2009Apr 08 2011We prove that the ramification filtration of the absolute Galois group of a comlete discrete valuation field with perfect residue field is characterized in terms of Fontaine's property (Pm).

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

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

Non-parametric Bayesian approach to extrapolation problems in configuration interaction methodsJul 11 2019We propose a non-parametric extrapolation method based on Gaussian Processes for configuration interaction methods. Our method has many advantages: (i) applicability to small data sets such as results of ab initio methods, (ii) flexibility to impose various ... 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

On some questions of Fisk and BrändénMay 23 2010P. Br\"and\'en recently proved a conjecture due to S. Fisk, R. P. Stanley, P. R. W. McNamara and B. E. Sagan. In addition, P. Br\"and\'en gave a partial answer to a question posed by S. Fisk regarding the distribution of zeros of polynomials under the ... More

Limits and colimits of crossed groupsFeb 19 2018Although the notion of crossed groups was originally introduced only in the simplicial case, the definition makes sense in the other categories. For instance, Batanin and Markl studied crossed interval groups to investigate symmetries on the Hochschild ... 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

Asymptotic behavior 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 investigate the asymptotic behavior of solutions toward a multiwave pattern of the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especially, we deal with the case when the flux function ... More

Martingale Expansion in Mixed Normal LimitOct 13 2012Jan 03 2013The quasi-likelihood estimator and the Bayesian type estimator of the volatility parameter are in general asymptotically mixed normal. In case the limit is normal, the asymptotic expansion was derived in Yoshida (1997) as an application of the martingale ... 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

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

Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopesFeb 18 2009The core polarization effect for the electric quadrupole moment of the neutron-rich $^{31}$Al, $^{33}$Al and $^{35}$Al isotopes in the vicinity of the island of inversion are investigated by means of the microscopic particle-vibration coupling model in ... More

Automorphic functions for a Kleinian groupApr 06 2009In the paper `Automorphic functions for a Whitehead-complement group', [Osaka J Math 43 (2006) 63-77] Matsumoto, Nishi and Yoshida constructed automorphic functions on real 3-dimensional hyperbolic space for a Kleinian group called the Whitehead-link-complement ... 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

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

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

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

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

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

Multi-hadron final states in RPV supersymmetric models with extra mattersMay 15 2014The gluino mass has been constrained by various search channels at the LHC experiments and the recent analyses are even sensitive to the cases where gluinos decay to quarks at the end of the decay chains through the baryonic RPV operator. We argue that ... More

Search for Sphalerons: IceCube vs. LHCMar 21 2016We discuss the observability of neutrino-induced sphaleron transitions in the IceCube detector, encouraged by a recent paper by Tye and Wong (TW), which argued on the basis of a Bloch wave function in the periodic sphaleron potential that such transitions ... More

Dynamics of bubbles in a two-component Bose-Einstein condensateNov 25 2010The dynamics of a phase-separated two-component Bose-Einstein condensate are investigated, in which a bubble of one component moves through the other component. Numerical simulations of the Gross--Pitaevskii equation reveal a variety of dynamics associated ... More