48 citations · 87 across the 11 of their papers we have counts for
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Mod-two APS index and domain-wall fermion
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
We reformulate the mod-two Atiyah-Patodi-Singer (APS) index in a physicist-friendly way using the domain-wall fermion. Our new formulation is given on a closed manifold, which is e…
A lattice formulation of the Atiyah-Patodi-Singer index
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
Atiyah-Singer index theorem on a lattice without boundary is well understood owing to the seminal work by Hasenfratz et al. But its extension to the system with boundary (the so-ca…
The Anomaly Inflow of the domain-wall fermion in odd dimension
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +3
In 1985, Callan and Harvey showed a view of gauge anomaly as a missing current into an extra-dimension, and the total contribution, including the Chern-Simons current in the bulk,…