arXiv:1910.01987·v3·math.DG
The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
Hidenori Fukaya🇯🇵 · Mikio Furuta🇯🇵 · Shinichiroh Matsuo🇯🇵 · Tetsuya Onogi🇯🇵 · Satoshi Yamaguchi🇯🇵 · Mayuko Yamashita🇯🇵
Abstract
We introduce a mathematician-friendly formulation of the physicist-friendly derivation of the Atiyah-Patodi-Singer index of our previous paper. Our viewpoint sheds some new light on the interplay among the Atiyah-Patodi-Singer boundary condition, domain-wall fermions, and edge modes.