A5017457815- Black Holes and Theoretical Physics
- Algebraic structures and combinatorial models
- Noncommutative and Quantum Gravity Theories
- Topological Materials and Phenomena
- Quantum Chromodynamics and Particle Interactions
- Cosmology and Gravitation Theories
- Quantum many-body systems
- Physics of Superconductivity and Magnetism
- Nonlinear Waves and Solitons
- Particle physics theoretical and experimental studies
- Random Matrices and Applications
- Graphene research and applications
- High-Energy Particle Collisions Research
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum and electron transport phenomena
- Advanced Combinatorial Mathematics
- Advanced Algebra and Geometry
- Advanced Topics in Algebra
- Homotopy and Cohomology in Algebraic Topology
- Advanced Condensed Matter Physics
- Spectral Theory in Mathematical Physics
- Geometry and complex manifolds
- Stochastic processes and statistical mechanics
- Advanced Operator Algebra Research
- Metallurgy and Material Forming
Université de Bourgogne
2020-2025
Hyogo University
2024-2025
Institut de Mathématiques de Bourgogne
2020-2024
Institut de Mathématiques de Bordeaux
2020-2024
Centre National de la Recherche Scientifique
2023-2024
Université Bourgogne Franche-Comté
2020-2022
Keio University
2015-2020
SoftBank Group (Japan)
2018
Tokyo University of Agriculture and Technology
2017-2018
Institut de Physique Théorique
2013-2017
We study an exotic state which is localized only at intersection of edges a topological material. This "edge-of-edge" shown to exist generically. construct explicitly generic edge-of-edge states in 5-dimensional Weyl semimetals and their dimensional reductions, such as 4-dimensional insulators class A 3-dimensional chiral AIII. The existence the due charge edge states. notion Berry connection generalized include space all possible boundary conditions, where Chern-Simons forms are be nontrivial.
Background/Objectives: Sarcopenia is an important clinical feature of patients with chronic liver disease (CLD). However, special devices are required to determine skeletal muscle mass. We evaluated the usefulness body surface area (BSA) for estimating mass and diagnosing sarcopenia in CLD. Methods: retrospectively studied 1889 Japanese CLD who underwent bioimpedance analysis (BIA) (training cohort, n = 983; validation 906). The optimal cutoff values predicting low index (SMI) were...
A bstract We further develop the BPS/CFT correspondence between quiver W-algebras/ qq -characters and partition functions of gauge origami. introduce associated with multi-dimensional partitions nontrivial boundary conditions which we call Donaldson-Thomas (DT) -characters. They are operator versions equivariant DT vertices toric Calabi-Yau three four-folds. Moreover, revisit construction D8 no give a quantum algebraic derivation sign rules magnificent four function. also show that under...
We provide a self-contained introduction to random matrices. While some applications are mentioned, our main emphasis is on three different approaches matrix models: the Coulomb gas method and its interpretation in terms of algebraic geometry, loop equations their solution using topological recursion, orthogonal polynomials relation with integrable systems. Each approach provides own definition spectral curve, geometric object which encodes all properties model. also introduce two peripheral...
We investigate the parity-broken phase structure for staggered and naive fermions in Gross-Neveu model as a toy of QCD. consider generalized including two types four-point interactions. use mass terms to split doublers both fermions. The boundaries derived from gap equations show that splitting tastes results an Aoki cases. also discuss continuum limit these models explore taking chirally-symmetric by fine-tuning parameter coupling constants. This supports idea lattice QCD we can derive one-...
We establish the Berry-phase formulas for angular momentum (AM) and Hall viscosity (HV) to investigate chiral superconductors (SCs) in two three dimensions. The AM is defined by temporal integral of antisymmetric current induced an adiabatic deformation, while HV symmetric torsional electric field. Without suffering from system size or geometry, we obtain macroscopic ${L}_{z}=\ensuremath{\hbar}m{N}_{0}/2$ at zero temperature full-gap SCs, where $m$ magnetic quantum number ${N}_{0}$ total...
We provide a survey of recent studies supergroup gauge theory. first discuss supermatrix model as zero-dimensional toy theory and its geometric algebraic characterization. then focus on four-dimensional Yang--Mills with symmetry explore non-perturbative properties, including instanton calculus, Seiberg-Witten geometry, Bethe/gauge correspondence, realization intersecting defects.
We provide a formalism using the $q$-Cartan matrix to compute instanton partition function of quiver gauge theory on various manifolds. Applying this eight dimensional setups, we introduce notion double characterized by pair quivers. also explore BPS/CFT correspondence in dimensions based formalism.
We apply conformal field theory analysis to the k-channel SU(N) Kondo system, and find a peculiar behavior in cases N > k 1, which we call Fermi/non-Fermi mixing: The low temperature scaling is described as Fermi liquid, while zero infrared fixed point exhibits non-Fermi liquid signature. also show that Wilson ratio no longer universal for 1. deviation from value of could be used an experimental signal mixing.
We find that generic boundary conditions of the Weyl semimetal are dictated by only a single real parameter in continuum limit. determine how energy dispersions (the Fermi arcs) and wave functions edge states depend on this parameter. Lattice models found to be consistent with our observation. Furthermore, enhanced space condition is shown support novel topological number.
We derive the exact vortex partition function in 2d $\mathcal{N}$ = (2,2) gauge theory on Omega-background, applying localization scheme Higgs phase. show that at a finite Omega-deformation parameter $\epsilon$ satisfies system of differential equations, which can be interpreted as quantized version twisted F-term equations characterizing SUSY vacua. Using derived this paper, we correspondence between two-dimensional string worldsheet and Nekrasov root branch four-dimensional 2 with two...
A bstract The topological vertex formalism for 5d $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 gauge theories is not only a convenient tool to compute the instanton partition function of these theories, but it also accompanied by nice algebraic structure that reveals various kinds properties such as dualities and integrability underlying theories. usual refined ormalism derived with -type quiver (and groups). In this article, we...
We investigate a deformation of w1+∞ algebra recently introduced in [1] the context Celestial CFT that we denote by W˜1+∞ algebra. obtain operator product expansions generating currents this and explore its supersymmetric topological generalizations.
A bstract We explore the quantum algebraic formalism of gauge origami system in ℂ 4 , where D2/D4/D6/D8-branes are present. demonstrate that contour integral formulas have free field interpretations, leading to operator qq -characters associated with each D-brane. The D2 and D4-branes correspond screening charges generators affine quiver W-algebra, respectively. On other hand, D6 D8-branes represent novel types -characters, monomial terms characterized by plane partitions solid partitions....
In this paper we generalize to higher dimensions several types of fermion actions on the hyperdiamond lattice including a two-parameter class minimal-doubling fermions "Creutz fermion" and simple with sufficient discrete symmetry "BBTW fermion". Then it is shown that they possess some properties in common four-dimensional case: BBTW even inevitably yield unphysical degrees freedom. Creutz are defined distorted lattices, lose high original lattices. We also find specific higher-dimensional...
We study non-perturbative aspects of QCD Kondo effect, which has been recently proposed for the finite density and strong magnetic field systems, using conformal theory describing low energy physics near IR fixed point. clarify symmetry class effect both show how point is non-perturbatively characterized by boundary condition, incorporates impurity in problem. also obtain temperature behavior several quantities vicinity based on analysis.
We consider the thermal response of a (3+1)-dimensional theory with chiral anomaly on curved space motivated by magnetic effect. find new phenomenon, called heat effect, such that current is induced transverse to gradient temperature even flat space. This effect expected be observed in QCD experiment as well study similar topological spacetime torsion. A holographic construction also discussed D3/D7 and Sakai-Sugimoto models.