2 citations · 2 across the 7 of their papers we have counts for
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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…
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…