Anomaly inflow for local boundary conditions

Author(s)

Ivanov, A. V. ; Vassilevich, D. V.

• Document type: Journal article
• Source: Journal of High Energy Physics; v. N/A, n. 9, p. 20-pg., 2022-09-30.

Abstract

We study the eta-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 eta-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. (AU)

• FAPESP's process: 21/10128-0 - Quantum field theory under the influence of external conditions
• Grantee: Dmitry Vasilevich
• Support Opportunities: Research Projects - Thematic Grants