2 citations · 3 across the 13 of their papers we have counts for
14 papers
Symmetric Mass Generation for Domain-Wall Fermions
Sho Araki, Hidenori Fukaya, Tetsuya Onogi +1
We report the first numerical examination of symmetric mass generation (SMG) for domain-wall fermions. Our simulation on a two-dimensional Euclidean lattice computes the path-integ…
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…
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…
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…
Time-reversal invariant vortex in topological superconductors and gravitational topology
Kazuki Yamamoto, Naoto Kan, Hidenori Fukaya
We study a time-reversal invariant vortex, namely a spin vortex, in helical superconductors by focusing on its emergent gravitational structure. The topology of the time-reversal i…