10 citations · 21 across the 19 of their papers we have counts for
5 papers · 1 filter
Higher-Rank Orthogonal Twists, APS Boundary Conditions, and -Equivariant Spectral Flow on a Warped Cylinder
Taro Kimura, Sanchita Sharma
We study -equivariant spectral flow for Dirac operators on a finite warped cylinder equipped with fixed admissible regularized APS boundary conditions. The twisting bundle is…
Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder
Taro Kimura, Sanchita Sharma
We study reflection symmetry and Atiyah-Patodi-Singer (APS) boundary conditions for twisted Dirac operators on a finite warped cylinder. For a complex line twist with holonomy para…
Dirac Operators, APS Boundary Conditions, and Spectral Flow on a Finite Warped Cylinder
Taro Kimura, Sanchita Sharma
We study the Dirac operator on a finite warped cylinder coupled to a background gauge field. We identify the intrinsic endpoint operators defining the Atiyah-Patodi-Singer (…
Determinantal formulas for Sklyanin-Whittaker integrals
Taro Kimura
We study multi-variable integrals, that we name Sklyanin-Whittaker integrals, and prove their determinantal formulas. We also discuss a -deformation, a determinantal point proce…
Fredholm Determinants from Schrödinger Type Equations, and Deformation of Tracy-Widom Distribution
Taro Kimura, Xavier Navand
We undertake an analysis of Fredholm determinants arising from kernels whose defining functions satisfy a Schrödinger type equation. When this defining function is the Airy one, th…