7 papers
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…
How to formulate the topological invariant of Majorana fermion on the lattice
Sho Araki, Hidenori Fukaya, Tetsuya Onogi +1
Topological invariants and their associated anomalies have played a crucial role in understanding low-energy phenomena in quantum field theories. In lattice gauge theory, the stand…
The Arf-Brown-Kervaire invariant on a lattice
Sho Araki, Hidenori Fukaya, Tetsuya Onogi +1
We propose a lattice formulation of the Arf-Brown-Kervaire (ABK) invariant which takes values in . Compared to the standard -valued index, the ABK invaria…
-theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We show that the Wilson Dirac operator in lattice gauge theory can be identified as a mathematical object in -theory and that its associated spectral flow is equal to the index.…
The index of lattice Dirac operators and -theory
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We mathematically show an equality between the index of a Dirac operator on a flat continuum torus and the invariant of a lattice Dirac operator known as the Wilson Dirac oper…
Anomalies and D-branes in the Dabholkar-Park background
Hiroki Wada, Satoshi Yamaguchi
We consider D-branes in the Dabholkar-Park (DP) background, a d orientifold theory obtained by gauging symmetry in the type IIB string theory compactified on a circle. Using ano…