48 citations · 135 across the 22 of their papers we have counts for
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Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation
Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
We study the duality structure of lattice Maxwell theory with a theta term in the Hamiltonian Villain formulation. Reflecting the fact that odd-level Chern--Simons theory depends o…
Exact SL(2,Z)-Structure of Lattice Maxwell Theory with -term in Modified Villain Formulation
Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
We study the duality of lattice Maxwell theory in the modified Villain formulation, employing an ultra-local action with a theta term. Although this action is known to become non u…
Generalization of lattice Dirac operator index
Shoto Aoki, Hajime Fujita, Hidenori Fukaya +4
We provide a comprehensive lattice formulation of various types of the Dirac operator indices, employing -theory to classify the Wilson Dirac operator via its spectral flow. In…
Capturing the Atiyah-Patodi-Singer index from the lattice
Shoto Aoki, Hajime Fujita, Hidenori Fukaya +4
We construct a formulation of the Atiyah-Patodi-Singer index of Dirac operators in lattice gauge theory for domains with compact boundaries in a flat torus. The key idea is to expl…