13 citations · 15 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
invariant of massive Wilson Dirac operator and the index
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We revisit the lattice index theorem in the perspective of -theory. The standard definition given by the overlap Dirac operator equals to the invariant of the Wilson Dirac o…
Atiyah-Patodi-Singer index on a lattice
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
We propose a non-perturbative formulation of the Atiyah-Patodi-Singer(APS) index in lattice gauge theory, in which the index is given by the invariant of the domain-wall Dirac…