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Conditional transfer of quantum correlation in the intensity of twin beamsApr 06 2005A conditional protocol of transferring quantum-correlation in continuous variable regime was experimentally demonstrated. The quantum-correlation in two pairs of twin beams, each characterized by intensity-difference squeezing of 7.0 dB, was transferred ... More

Single-beam noise characteristics of quantum correlated twin beamsFeb 18 2004We investigated the intensity noise spectra of the single beam of a pump-enhanced continuous-wave (cw) optical parametric oscillator (OPO), which was used to generate quantum correlated twin beams, as a function of the pump power. With a triply (pump-, ... More

Quantum channel using photon number correlated twin beamsJan 08 2004We report quantum communications channel using photon number correlated twin beams. The twin beams are generated from a nondegenerate optical parametric oscillator, and the photon number difference is used to encode the signal. The bit error rate of our ... More

Generation of vacuum ultraviolet radiation by intracavity high-harmonic generation toward state detection of single trapped ionsJun 21 2014Aug 22 2014VUV radiation around 159 nm is obtained toward direct excitation of a single trapped $^{115}$In$^{+}$ ion. An efficient fluoride-based VUV output-coupler is employed for intracavity high-harmonic generation of a Ti:S oscillator. Using this coupler, where ... More

Generation of twin beams from an optical parametric oscillator pumped by a frequency-doubled diode laserJun 16 2004Quantum-correlated twin beams were generated from a triply resonant optical parametric oscillator with an a-cut KTP crystal pumped by a frequency-doubled diode laser. A total output of 5.1 mW was obtained in the classical-to-nonclassical-light conversion ... More

Asymptotic vanishing of homogeneous components of multigraded modules and its applicationsJul 31 2018In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result to multi-Rees algebras of ideals. As a consequence, we obtain a result ... More

Quantum Knot Invariant for Torus Link and Modular FormsMay 20 2003Oct 22 2003We consider an asymptotic expansion of Kashaev's invariant or the colored Jones function for the torus link T(2,2m). We shall give q-series identity related to these invariants, and show that the invariant is regarded as a limit of q being N-th root of ... More

Separation of Variables in BC-type Gaudin MagnetJun 07 1995The integrable system is introduced based on the Poisson $ rs $-matrix structure. This is a generalization of the Gaudin magnet, and in SL(2) case isomorphic to the generalized Neumann model. The separation of variables is discussed for both classical ... More

Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall StatesSep 15 2007We study topological properties of quasi-particle states in the non-Abelian quantum Hall states. We apply a skein-theoretic method to the Read--Rezayi state whose effective theory is the SU(2)_K Chern--Simons theory. As a generalization of the Pfaffian ... More

Quantum Invariants, Modular Forms, and Lattice Points IIApr 05 2006We study the SU(2) Witten--Reshetikhin--Turaev invariant for the Seifert fibered homology spheres with M-exceptional fibers. We show that the WRT invariant can be written in terms of (differential of) the Eichler integrals of modular forms with weight ... More

Integral non-hyperbolike surgeriesOct 04 2004Feb 05 2005It is shown that a hyperbolic knot in the 3-sphere admits at most nine integral surgeries yielding 3-manifolds which are reducible or whose fundamental groups are not infinite word-hyperbolic.

Quick Brown Fox in Formal LanguagesDec 27 2015Feb 11 2016Given a finite alphabet $\Sigma$ and a deterministic finite automaton on $\Sigma$, the problem of determining whether the language recognized by the automaton contains any pangram is \NP-complete. Various other language classes and problems around pangrams ... More

Flux Phase as a Possible Ordered State in t-J ModelOct 14 2013Dec 13 2013In high-Tc cuprate superconductors, violation of time-reversal symmetry (${\cal T}$) has been observed experimentally. In order to explain this phenomenon, we consider a flux phase in the t-J model. The flux phase has a free energy higher than that of ... More

Flux Phase in Bilayer $t-J$ ModelSep 02 2014Nov 18 2014In order to study the time-reversal symmetry (${\cal T}$) breaking near a (110) surface of a high-$T_C$ cuprate YBCO, we consider the flux phase in a bilayer $t-J$ model. Although the stable solution in the bulk is the $d_{x^2-y-2}$-wave superconducting ... More

Quarkonium production at collider energies in Small-$x$ formalismNov 02 2016I present a short review of recent studies of quarkonium production in proton-proton and proton-nucleus collisions at collider energies in Small-$x$ formalism.

BPS index and 4d N=2 superconformal field theoriesMar 30 2016Jul 08 2016We study the BPS index for the four-dimensional rank-one N=2 superconformal field theories H_0, H_1, H_2, E_6, E_7, E_8. We consider compactifications of the E-string theory on T^2 in which these theories arise as low energy limits. Using this realization ... More

Metabolic network modularity arising from simple growth processesSep 04 2012Metabolic networks consist of linked functional components, or modules. The mechanism underlying metabolic network modularity is of great interest not only to researchers of basic science but also to those in fields of engineering. Previous studies have ... More

Higher twist light-cone distribution amplitudes of vector mesons in QCDFeb 21 1999We present a systematic study of twist-3 light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion. A complete set of distribution amplitudes is constructed for \rho, \omega, K^* and \phi mesons, which satisfies ... More

On operator relations for gravitational form factors of a spin-0 hadronJun 27 2018Aug 10 2018The gravitational form factors for a hadron, the form factors for the hadron matrix element of the QCD energy-momentum tensor, not only describe the coupling of the hadron with a graviton, but also serve as unique quantities for describing the shape inside ... More

Michel parameters for $τ$ decays $τ\rightarrow lν\barν~(l=e,~μ)$ in a general two Higgs doublet model with $μ-τ$ flavor violationJul 15 2016In a general two Higgs doublet model (2HDM), the anomaly of muon anomalous magnetic moment (muon g-2) can be explained by $\mu-\tau$ flavor violating Yukawa couplings, motivated by the recent CMS excess in Higgs boson decay $h\rightarrow \mu \tau$. We ... More

On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-MillsOct 30 2007Nov 02 2007Employing a twisted superspace with eight supercharges, we describe an off-shell formulation of N=4 D=3 twisted super Yang-Mills in the continuum spacetime which underlies the recent proposal of N=4 D=3 twisted super Yang-Mills on a lattice (arXiv:0707.3533[hep-lat]). ... More

Transformation Formula of the "2nd" Order Mock Theta FunctionApr 04 2006We give a transformation formula for the ``2nd order'' mock theta function which was recently proposed in connection with the quantum invariant for the Seifert manifold.

Mock (False) Theta Functions as Quantum InvariantsJun 29 2005We show a correspondence between the SU(2) Witten--Reshetikhin--Turaev invariant for the Seifert manifold M(p,q,r) and Ramanujan's mock theta functions.

Quantum Invariant, Modular Form, and Lattice PointsSep 08 2004We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert manifold with 4-singular fibers. We define the Eichler integrals of the modular forms with half-integral weight, and we show that the invariant is rewritten as a sum of the Eichler ... More

Ginzburg-Landau Equations for Coexistent States of Superconductivity and Antiferromagnetism in t-J modelAug 13 2012Dec 09 2012Ginzburg-Landau (GL) equations for the coexistent state of superconductivity and antiferromagnetism are derived microscopically from the t-J model with extended transfer integrals. GL equations and the GL free energy, which are obtained based on the slave-boson ... More

Proximity effects near the interface between d-wave superconductors and ferro/antiferromagnetsJun 16 1999Aug 22 1999We study the proximity effects near the interface between a d-wave superconductor (S) and a ferromagnet (F) or an antiferromagnet (AF). The S-side (F and AF-side) is described by the attractive (repulsive) Hubbard model, and the Bogoliubov de Gennes equation ... More

Evolution of the Blue Luminosity-to-Baryon Mass Ratio of Clusters of GalaxiesJan 31 2000We derive the ratio of total blue luminosity to total baryon mass, LB/Mb, for massive (Mgas at the Abell radius is \ge 1 \times 10^{13} h^{-2.5} \Msolar) clusters of galaxies up to z \simeq 1 from the literature. Twenty-two clusters in our sample are ... More

Flux phase as possible time-reversal symmetry breaking surface states of high-$T_C$ cuprate superconductorsJan 14 2014Apr 07 2014At a (110) surface of a $d_{x^2-y-2}$-wave superconductor, superconducting order is strongly suppressed. In such a situation, ordered states that are forbidden in the bulk may arise. This problem is studied for high-$T_C$ cuprate superconductors by treating ... More

Seiberg-Witten prepotential for E-string theory and random partitionsMar 13 2012We find a Nekrasov-type expression for the Seiberg-Witten prepotential for the six-dimensional non-critical E_8 string theory toroidally compactified down to four dimensions. The prepotential represents the BPS partition function of the E_8 strings wound ... More

Seiberg-Witten prepotential for E-string theory and global symmetriesJul 24 2012Sep 05 2012We obtain Nekrasov-type expressions for the Seiberg-Witten prepotential for the six-dimensional (1,0) supersymmetric E-string theory compactified on T^2 with nontrivial Wilson lines. We consider compactification with four general Wilson line parameters, ... More

Spontaneous Magnetic Field near a Time-Reversal Symmetry Broken Surface State of YBCOApr 16 2019Spatial distributions of spontaneous magnetic fields near a surface of cuprate high-$T_C$ superconductor YBCO with broken time-reversal symmetry are calculated using the Ginzburg-Landau theory derived from the $t-J$ model. It is found that the magnetic ... More

A functional relation for Tornheim's double zeta functionsNov 07 2012In this paper, we generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta functions of three complex variables. As applications, we give new integral ... More

Three-loop formula for quark and gluon contributions to the QCD trace anomalyNov 19 2018Nov 21 2018In the QCD energy-momentum tensor $T^{\mu\nu}$, the terms that contribute to physical matrix elements are expressed as the sum of the gauge-invariant quark part and gluon part. Each part undergoes the renormalization due to the interactions among quarks ... More

Transverse-spin gluon distribution functionAug 08 2014We introduce the spin-operator representation for the gluon as well as quark distribution functions as nucleon matrix element of the gauge-invariant bilocal light-cone operators in QCD. To identify the relevant spin operators for quarks and gluons in ... More

Optimal leader selection and demotion in leader-follower multi-agent systemsFeb 19 2018We consider leader-follower multi-agent systems that have many leaders, defined on any connected weighted undirected graphs, and address the leader selection and demotion problems. The leader selection problem is formulated as a minimization problem for ... More

Riemannian optimal model reduction of stable linear systemsMar 05 2018Aug 02 2018In this paper, we develop a method for solving the problem of minimizing the $H^2$ error norm between the transfer functions of original and reduced systems on the set of stable matrices and two Euclidean spaces. That is, we develop a method for identifying ... More

Metabolic networks are almost nonfractal: A comprehensive evaluationJul 17 2014Jul 30 2014Network self-similarity or fractality are widely accepted as an important topological property of metabolic networks; however, recent studies cast doubt on the reality of self-similarity in the networks. Therefore, we perform a comprehensive evaluation ... More

Optimal Weighting Scheme in Redshift-space Power Spectrum Analysis and a Prospect for Measuring the Cosmic Equation of StateAug 06 2002Jun 12 2003We develop a useful formula for power spectrum analysis for high and intermediate redshift galaxy samples, as an extension of the work by Feldman, Kaiser & Peacock (1994). An optimal weight factor, which minimizes the errors of the power spectrum estimator, ... More

q-series and L-functions related to half-derivatives of the Andrews--Gordon identityMar 20 2003May 10 2003Studied is a generalization of Zagier's q-series identity. We introduce a generating function of L-functions at non-positive integers, which is regarded as a half-differential of the Andrews--Gordon q-series. When q is a root of unity, the generating ... More

Hyperbolicity of Partition Function and Quantum GravityAug 02 2001We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or Euclidean AdS_3 naturally arises in the classical limit of this invariant. We discuss ... More

Hyperbolic Structure Arising from a Knot InvariantMay 28 2001We study the knot invariant based on the quantum dilogarithm function. This invariant can be regarded as a non-compact analogue of Kashaev's invariant, or the colored Jones invariant, and is defined by an integral form. The 3-dimensional picture of our ... More

Flux Phase in Bilayer $t-J$ Model: Time-Reversal Symmetry Breaking Surface State without Spontaneous Magnetic FieldFeb 10 2015May 13 2015We study surface states of high-$T_C$ cuprate superconductor YBCO using the bilayer $t-J$ model. Calculations based on the Bogoliubov de Gennes method show that a flux phase that breaks time-reversal symmetry (${\cal T}$) may arise near a (110) surface ... More

Finiteness of Brauer groups of K3 surfaces in characteristic 2Apr 20 2017Jan 04 2018For a K3 surface over a field of characteristic 2 which is finitely generated over its prime subfield, we prove that the cokernel of the natural map from the Brauer group of the base field to that of the K3 surface is finite modulo the 2-primary torsion ... More

Quarkonium production at collider energies in Small-$x$ formalismNov 02 2016Apr 27 2017I present a short review of recent studies of quarkonium production in proton-proton and proton-nucleus collisions at collider energies in Small-$x$ formalism.

All exceptional surgeries on alternating knots are integral surgeriesAug 15 2008Oct 14 2008We show that all exceptional surgeries on hyperbolic alternating knots in the 3-sphere are integral surgeries.

Operator Relations for Gravitational Form FactorsMay 06 2019The form factors for the hadron matrix element of the QCD energy-momentum tensor not only describe the coupling of the hadron with a graviton as the ``gravitational form factors'', but also serve as unique quantities for describing the shape inside the ... More

Unconditional construction of K3 surfaces over finite fields with given L-function in large characteristicDec 16 2016Nov 23 2018We give an unconditional construction of K3 surfaces over finite fields with given L-function, up to finite extensions of the base fields, under some mild restrictions on the characteristic. Previously, such results were obtained by Taelman assuming semistable ... More

Exact Lattice Supersymmetry at Large NMay 28 2008Jul 24 2008Employing a novel type of non-commutative product in the Dirac-Kahler twisted superspace on a lattice, we formulate a field theoretically rigid framework of extended supersymmetry on a lattice. As a first example of this treatment, we calculate one-loop ... More

Generalized Volume Conjecture and the A-Polynomials -- the Neumann-Zagier Potential Function as a Classical Limit of Quantum InvariantApr 05 2006We study quantum invariant Z(M) for cusped hyperbolic 3-manifold M. We construct this invariant based on oriented ideal triangulation of M by assigning to each tetrahedron the quantum dilogarithm function, which is introduced by Faddeev in studies of ... More

Asymptotics of the Colored Jones Polynomial and the A-PolynomialJul 21 2004We reveal a relationship between the colored Jones polynomial and the A-polynomial for twist knots. We demonstrate that an asymptotics of the $N$-colored Jones polynomial in large $N$ gives the potential function, and that the A-polynomial can be computed. ... More

On the Quantum Invariant for the Brieskorn Homology SpheresMay 10 2004Jan 01 2005We study an exact asymptotic behavior of the Witten-Reshetikhin-Turaev invariant for the Brieskorn homology spheres $\Sigma(p_1,p_2,p_3)$ by use of properties of the modular form following a method proposed by Lawrence and Zagier. Key observation is that ... More

Baxter Equation for Quantum Discrete Boussinesq EquationFeb 19 2001Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter $\mathcal{Q}$ operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it ... More

On the Quantum Invariant for the Spherical Seifert ManifoldApr 28 2005May 08 2006We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert manifold $S^3/\Gamma$ where $\Gamma$ is a finite subgroup of SU(2). We show that the WRT invariants can be written in terms of the Eichler integral of the modular forms with half-integral ... More

Effect of Band Structure on the Symmetry of Superconducting StatesFeb 05 2001Feb 06 2001Effects of the band structure on the symmetry of superconducting (SC) states are studied. For a square lattice system with a nearest-neighbor attractive interaction, SC states with various symmetries are found by changing the band structure, or, the shape ... More

A reduced BPS index of E-stringsAug 15 2014Dec 03 2014We study the BPS spectrum of E-strings in a situation where the global E_8 symmetry is broken down to D_4 + D_4 by a certain twist. We find that the refined BPS index in this setup serves as a reduced BPS index of E-strings, which gives a novel trigonometric ... More

Topological string amplitudes for the local half K3 surfaceNov 16 2011We study topological string amplitudes for the local half K3 surface. We develop a method of computing higher genus amplitudes along the lines of the direct integration formalism, making full use of the Seiberg-Witten curve expressed in terms of modular ... More

Habitat variability does not generally promote metabolic network modularity in flies and mammalsDec 09 2015The evolution of species habitat range is an important topic over a wide range of research fields. In higher organisms, habitat range evolution is generally associated with genetic events such as gene duplication. However, the specific factors that determine ... More

Exceptional surgeries on components of two-bridge linksJul 03 2011In this paper, we give a complete classification of exceptional Dehn surgeries on a component of a hyperbolic two-bridge link in the 3-sphere.

On a new harmonic heat flow with the reverse Hölder inequalitiesJan 10 2014This paper first proposes a new approximate scheme to construct a harmonic heat flow $u$ between a parabolic cylinder to a sphere. Y.Chen and M.Struwe have proved an existence and discussed a partial regularity of harmonic heat flows by using Ginzburg-Landau ... More

On the supersingular reduction of K3 surfaces with complex multiplicationSep 30 2017Nov 29 2018We study the good reduction modulo p of K3 surfaces with complex multiplication. If a K3 surface with complex multiplication has good reduction, we calculate the Picard number and the height of the formal Brauer group of the reduction. Moreover, if the ... More

Pairs of boundary slopes with small differencesJun 29 2013Mar 10 2014We show that, for any positive real number, there exists a knot in the 3-sphere admitting a pair of boundary slopes whose difference is at most the given number.

Heterogeneity of cells may explain allometric scaling of metabolic rateFeb 04 2015Feb 17 2015The origin of allometric scaling of metabolic rate is a long-standing question in biology. Several models have been proposed for explaining the origin; however, they have advantages and disadvantages. In particular, previous models only demonstrate either ... More

Global architecture of metabolite distributions across species and its formation mechanismsMay 23 2011Living organisms produce metabolites of many types via their metabolisms. Especially, flavonoids, a kind of secondary metabolites, of plant species are interesting examples. Since plant species are believed to have specific flavonoids with respect to ... More

Difference equation of the colored Jones polynomial for torus knotMar 14 2004We prove that the N-colored Jones polynomial for the torus knot T_{s,t} satisfies the second order difference equation, which reduces to the first order difference equation for a case of T_{2,2m+1}. We show that the A-polynomial of the torus knot can ... More

Simple Construction of Elliptic Boundary K-MatrixJul 24 1995We give the infinite-dimensional representation for the elliptic $ K $-operator satisfying the boundary Yang-Baxter equation. By restricting the functional space to finite-dimensional space, we construct the elliptic $ K $-matrix associated to Belavin's ... More

Measuring the Density Fluctuation From the Cluster Gas Mass FunctionJan 27 1997We investigate the gas mass function of clusters of galaxies to measure the density fluctuation spectrum on cluster scales. The baryon abundance confined in rich clusters is computed from the gas mass function and compared with the mean baryon density ... More

Lepton-Flavour-Violation in SUSY Models with and without R-parityAug 09 2000We discuss Lepton-Flavour-Violating phenomena such as $\mu \to e \gamma$, $\mu \to eee$, and $\mu \to e$ conversion in nuclei in SUSY models with and without R-parity. We stress that experimental searches for all the LFV processes are important to distinguish ... More

Exclusive pion-induced Drell-Yan process at J-PARC for accessing the nucleon GPDs and soft nonfactorizable mechanismSep 02 2017Generalized parton distributions (GPDs) encoding multidimensional information of hadron partonic structure appear as the building blocks in a factorized description of hard exclusive reactions. The nucleon GPDs have been accessed by deeply virtual Compton ... More

QCD mechanisms for accessing the nucleon GPDs with the exclusive pion-induced Drell-Yan process at J-PARCMar 07 2017Generalized parton distributions (GPDs) encoding multidimensional information of hadron partonic structure appear as the building blocks in a factorized description of hard exclusive reactions. The nucleon GPDs have been accessed by deeply virtual Compton ... More

Quasiparticle properties and the dynamics of high-density nuclear matterOct 18 1993The energy spectrum of nucleons in high-density nuclear matter is investigated in the framework of relativistic meson-nucleon many-body theory, employing the $1/N$ expansion method. The coupling of the nucleon with the particle-hole excitations in the ... More

An f-chromatic spanning forest of edge-colored complete bipartite graphsJun 13 2011In 2001, Brualdi and Hollingsworth proved that an edge-colored balanced complete bipartite graph Kn,n with a color set C = {1,2,3,..., 2n-1} has a heterochromatic spanning tree if the number of edges colored with colors in R is more than |R|^2 /4 for ... More

Cosmetic surgeries and non-orientable surfacesSep 01 2012By considering non-orientable surfaces in the surgered manifolds, we show that the 10/3- and -10/3-Dehn surgeries on the 2-bridge knot $9_{27} = S(49,19)$ are not cosmetic, i.e., they give mutually non-homeomorphic manifolds. The knot is unknown to have ... More

On the maximal number and the diameter of exceptional surgery slope setsOct 04 2011Feb 20 2012Concerning the set of exceptional surgery slopes for a hyperbolic knot, Lackenby and Meyerhoff proved that the maximal cardinality is 10 and the maximal diameter is 8. Their proof is computer-aided in part, and both bounds are achieved simultaneously. ... More

Heegaard gradient of Seifert fibered 3-manifoldNov 06 2002Oct 27 2003The infimal Heegaard gradient of a compact 3-manifold was defined and studied by Marc Lackenby in an approach toward the well-known virtually Haken conjecture. As instructive examples, we consider Seifert fibered 3-manifolds, and show that a Seifert fibered ... More

On a time-discrete approach to solving Navier-Stokes systemsAug 11 2014We present a new scheme for solving Navier-Stokes systems. This is inspired by material differentiation and combined with discrete Morse semi-flow. The solution has the first energy inequality, we set some assumption though. This result crucially does ... More

Conformal Invariance of the D-Particle Effective ActionApr 12 1999Apr 26 1999It is shown that the effective theory of D-particles has conformal symmetry with field-dependent parameters. This is a consequence of the supersymmetry. The string coupling constant is not transformed in contrast with the recent proposal of generalized ... More

Photon subtraction from traveling fields - recent experimental demonstrationsApr 21 2011We review our most recent results on application of the photon subtraction technique for optical quantum information processing primitives, in particular entanglement distillation and generation of squeezed qubit states. As an introduction we provide ... More

Optimal conditions for Bell test using spontaneous parametric down-conversion sourcesAug 25 2018We theoretically and experimentally investigate the optimal conditions for the Bell experiment using spontaneous parametric down conversion (SPDC) sources. In theory, we show that relatively large average photon number (typically $\sim$0.5) is desirable ... More

Non-Gaussian entanglement distillation for continuous variablesJul 13 2009Entanglement distillation is an essential ingredient for long distance quantum communications. In the continuous variable setting, Gaussian states play major roles in quantum teleportation, quantum cloning and quantum cryptography. However, entanglement ... More

Generation of large-amplitude coherent-state superposition via ancilla-assisted photon-subtractionJun 18 2008Dec 05 2008We propose and demonstrate a novel method to generate a large-amplitude coherent-state superposition (CSS) via ancilla-assisted photon-subtraction. The ancillary mode induces quantum interference of indistinguishable processes, widening the controllability ... More

Optical continuous-variable qubitFeb 17 2010In a new branch of quantum computing, information is encoded into coherent states, the primary carriers of optical communication. To exploit it, quantum bits of these coherent states are needed, but it is notoriously hard to make superpositions of such ... More

Spin-current absorption by inhomogeneous spin-orbit couplingApr 10 2012Oct 03 2012We investigate the spin-current absorption induced by an inhomogeneous spin-orbit coupling due to impurities in metals. We consider the system with spin currents driven by the electric field or the spin accumulation. The resulting diffusive spin currents, ... More

Tau lepton physics at BelleMar 01 2011We report the recent results of a search for lepton-flavor-violating tau decays and a search for CP violation in tau to nu Ks pi using a large data sample accumulated with the Belle detector at the KEKB asymmetric-energy e^+e^- collider. The sensitivity ... More

Minimal coloring number for Z-colorable linksMay 26 2016For a link with zero determinants, a Z-coloring is defined as a generalization of Fox coloring. We call a link having a diagram which admits a non-trivial Z-coloring a Z-colorable link. The minimal coloring number of a Z-colorable link is the minimal ... More

Effect of spin-orbit impurity scattering in the superconducting state of t-J modelMay 29 2000May 30 2000We study the effect of magnetic impurities in the d_{x^2-y^2}-wave superconducting (SC) state of the two dimensional t-J model.The spin-orbit and the spin-exchange interactions are examined by treating the impurity as a classical spin. The Bogoliubov ... More

Probing for massive stochastic gravitational-wave background with a detector networkJul 04 2013Sep 20 2013In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes appear due ... More

Model-independent test of gravity with a network of ground-based gravitational-wave detectorsAug 22 2012Mar 06 2013The observation of gravitational waves with a global network of interferometric detectors such as advanced LIGO, advanced Virgo, and KAGRA will make it possible to probe into the nature of space-time structure. Besides Einstein's general theory of relativity, ... More

Lower bounds on boundary slope diameters for Montesinos knotsMar 09 2007In this paper, two lower bounds on the diameters of the boundary slope sets are given for Montesinos knots. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces ... More

New class of symmetries for self-gravitating hydrodynamics equationsSep 09 2004A method of calculating a new class of symmetries is presented for partial differential equations. The method give a new dynamical solution for an isothermal and cylindrically symmetric hydrodynamics equations under self-gravity. The solution describes ... More

N=2 Superconformal Algebra and the Entropy of Calabi-Yau ManifoldsMar 08 2010We use the representation theory of N=2 superconformal algebra to study the elliptic genera of Calabi-Yau (CY) D-folds. We compute the entropy of CY manifolds from the growth rate of multiplicities of the massive (non-BPS) representations in the decomposition ... More

Note on Twisted Elliptic Genus of K3 SurfaceAug 29 2010Aug 31 2010We discuss the possibility of Mathieu group M24 acting as symmetry group on the K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of the present authors. One way of testing this proposal is to derive the twisted elliptic genera for all ... More

N=4 Superconformal Algebra and the Entropy of HyperKahler ManifoldsSep 02 2009Jan 14 2010We study the elliptic genera of hyperKahler manifolds using the representation theory of N=4 superconformal algebra. We consider the decomposition of the elliptic genera in terms of N=4 irreducible characters, and derive the rate of increase of the multiplicities ... More

Braids, Complex Volume, and Cluster AlgebraApr 17 2013Nov 18 2014We try to give a cluster algebraic interpretation of complex volume of knots. We construct the R-operator from the cluster mutations, and we show that it is regarded as a hyperbolic octahedron. The cluster variables are interpreted as edge parameters ... More

Constraints on α-attractor inflation and reheatingFeb 24 2016Apr 24 2016We investigate a constraint on reheating followed by alpha-attractor-type inflation (the E-model and T-model) from an observation of the spectral index n_s. When the energy density of the universe is dominated by an energy component with the cosmic equation-of-state ... More

Proximity-induced time-reversal symmetry breaking at Josephson junctions between unconventional superconductorsJan 09 1995Jan 10 1995We argue that a locally time-reversal symmetry breaking state can occur at Josephson junctions between unconventional superconductors. Order parameters induced by the proximity effect can combine with the bulk order parameter to form such a state. This ... More

Neutrino masses, muon g-2, and lepton-flavour violation in the supersymmetric see-saw modelFeb 26 2001Apr 12 2001In the light of the recent muon (g_mu-2) result by the E821 experiment at the Brookhaven National Laboratory, we study the event rates of the charged lepton-flavour-violating (LFV) processes in the supersymmetric standard model (SUSY SM) with the heavy ... More

When a negative weak value -1 plays the counterpart of a probability 1Jul 27 2016When the weak value of a projector is 1, a quantum system behaves as in that eigenstate with probability 1. By definition, however, the weak value may take an anomalous value lying outside the range of probability like -1. From the viewpoint of a physical ... More

A strange weak value in spontaneous pair productions via a supercritical step potentialApr 16 2012Aug 24 2012We consider a case where a weak value is introduced as a physical quantity rather than an average of weak measurements. The case we treat is a time evolution of a particle by 1+1 dimensional Dirac equation. Particularly in a spontaneous pair production ... More

Resonance and continuum states in weakly bound systemsJul 09 2001Linear response theories in the continuum capable of describing continuum spectra and dynamical correlations are presented. Our formulation is essentially the same as the continuum random-phase approximation (RPA) but suitable for uniform grid representation ... More

Response in the continuum for light deformed neutron-rich nucleiDec 19 2003The time-dependent Hartree-Fock calculation with a full Skyrme energy functional has been carried out on the three-dimensional Cartesian lattice space to study E1 giant dipole resonances (GDR) in light nuclei. The outgoing boundary condition for the continuum ... More