12 papers
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…
Multicritical Scaling Limit of Shifted Schur Measure
Haruna Aida, Taro Kimura
We investigate the multicritical scaling limit of the shifted Schur measures. Under an appropriate scaling limit and specific conditions on the continuous parameters, we explicitly…
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…
Wall-crossing of Instantons on the Blow-up
Baptiste Filoche, Stefan Hohenegger, Taro Kimura
We study the instanton counting in four dimensional supersymmetric gauge theories on the blow-up of : we start by formulating the instanton moduli spa…
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…