Anomaly inflow for local boundary conditions

Autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 9, p. 20-pg., 2022-09-30.

Resumo

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)

• Processo FAPESP: 21/10128-0 - Teoria quântica de campos sob a influência de condições externas
• Beneficiário: Dmitry Vasilevich
• Modalidade de apoio: Auxílio à Pesquisa - Temático