期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 53, 期 30, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab9385
关键词
index theorem; anomalies; heat kernel expansion; domain walls
资金
- Russian Science Foundation [19-11-00131]
- RSF
- Sao Paulo Research Foundation (FAPESP) [2016/03319-6]
- CNPq [305594/2019-2]
- RFBR [18-02-00149-a]
- Tomsk State University Competitiveness Improvement Program
We consider the index of a Dirac operator on a compact even dimensional manifold with a domain wall. The latter is defined as a co-dimension one submanifold where the connection jumps. We formulate and prove an analog of the Atiyah-Patodi-Singer theorem that relates the index to the bulk integral of Pontryagin density and eta-invariants of auxiliary Dirac operators on the domain wall. Thus the index is expressed through the global chiral anomaly in the volume and the parity anomaly on the wall.
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