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

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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Bibliographic Details
Published inarXiv.org
Main Authors Fukaya, Hidenori, Furuta, Mikio, Matsuo, Shinichiroh, Onogi, Tetsuya, Yamaguchi, Satoshi, Yamashita, Mayuko
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.04.2020
Subjects
Boundary conditions
Fermions
Mathematics - Differential Geometry
Physics - High Energy Physics - Lattice
Physics - High Energy Physics - Theory
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Summary: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.
Bibliography:OU-HET-1026
ISSN:2331-8422
DOI:10.48550/arxiv.1910.01987