Abstract

We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd dimension, it is expressed through the index of boundary operators. We stress the necessity of the strong ellipticity condition for the applicability of our methods. We show that the Witten-Yonekura boundary conditions are not strongly elliptic, though they are very close to strongly elliptic ones.

Details

Title
Anomaly inflow for local boundary conditions
Author
Ivanov, A. V. 1   VIAFID ORCID Logo  ; Vassilevich, D. V. 2   VIAFID ORCID Logo 

1  St. Petersburg Department of Steklov Mathematical Institute of RAS, St. Petersburg, Russia (GRID:grid.474629.a) (ISNI:0000 0001 1942 8451); Leonhard Euler International Mathematical Institute, St. Petersburg, Russia (GRID:grid.474629.a) 
2  CMCC-Universidade Federal do ABC, Santo André, Brazil (GRID:grid.412368.a) (ISNI:0000 0004 0643 8839) 
Pages
250
Publication year
2022
Publication date
Sep 2022
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP09(2022)250
ProQuest document ID
2757875970
Copyright
© The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.