Anomaly inflow for local boundary conditions

A bstract 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 t...

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Published inThe journal of high energy physics Vol. 2022; no. 9; pp. 250 - 20
Main Authors Ivanov, A. V., Vassilevich, D. V.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 30.09.2022
Springer Nature B.V
SpringerOpen
Subjects
Anomalies in Field and String Theories
Boundary conditions
Boundary Quantum Field Theory
Boundary value problems
Classical and Quantum Gravitation
Eigenvalues
Elementary Particles
Ellipticity
High energy physics
Invariants
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Boundary Quantum Field Theory
Anomalies in Field and String Theories
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Summary:A bstract 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.
Bibliography:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2022)250