Index theorem for domain walls

The paper is devoted to the discussion of index theorem for domain walls condition. We give an extension of the theorem to the case, when not only Yang-Mills connection components have a jump on some surface of co-dimension 1, but also components of a Riemannian connection, while a metric remains co...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2021-03, Vol.54 (9), p.95203
1. Verfasser:	Ivanov, A V
Format:	Artikel
Sprache:	eng
Schlagworte:	Atiyah-Patodi-Singer theorem Dirac operator domain walls intex theorem relative spectral asymmetry
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Beschreibung
Zusammenfassung:	The paper is devoted to the discussion of index theorem for domain walls condition. We give an extension of the theorem to the case, when not only Yang-Mills connection components have a jump on some surface of co-dimension 1, but also components of a Riemannian connection, while a metric remains continuous.
ISSN:	1751-8113 1751-8121
DOI:	10.1088/1751-8121/abdd78