APS η-invariant, path integrals, and mock modularity

APS η-invariant, path integrals, and mock modularity

Abstract We show that the Atiyah-Patodi-Singer η-invariant can be related to the temperature-dependent Witten index of a noncompact theory and give a new proof of the APS theorem using scattering theory. We relate the η-invariant to a Callias index and compute it using localization of a supersymmetr...

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Bibliographic Details
Main Authors: Atish Dabholkar, Diksha Jain, Arnab Rudra
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of High Energy Physics
Subjects:
Anomalies in Field and String Theories
Differential and Algebraic Geometry
Scattering Amplitudes
Sigma Models
Online Access:http://link.springer.com/article/10.1007/JHEP11(2019)080

Internet

http://link.springer.com/article/10.1007/JHEP11(2019)080

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