The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
Differential Geometry
2020-08-26 v3 High Energy Physics - Lattice
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1910.01987,
title = {The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators},
author = {Hidenori Fukaya and Mikio Furuta and Shinichiroh Matsuo and Tetsuya Onogi and Satoshi Yamaguchi and Mayuko Yamashita},
journal= {arXiv preprint arXiv:1910.01987},
year = {2020}
}