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arXiv · 1910.01987

The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators

Hidenori Fukaya·Mikio Furuta·Shinichiroh Matsuo·Tetsuya Onogi·Satoshi Yamaguchi·Mayuko Yamashita
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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.

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Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, Mayuko Yamashita. 2019-10-04. The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators. https://doi.org/10.1007/s00220-020-03806-0

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