String Theory Seminars

APS index theorem, Path integral and mock-modularity

by Mr. Arnab Rudra (ICTP, Italy)

Friday, July 19, 2019 from to (Asia/Kolkata)
at AG 69
Description
APS index theorem is an extension of Atiyah-Singer index theorem for cases of the manifolds with boundary. We will present an introduction to the index theorem in general and then an introduction to the APS index theorem. And after that, we will present a physicist's derivation of APS index theorem. We will also show that the Atiyah-Patodi-Singer 𝜂η-invariant can be related to the temperature-dependent Witten index of a noncompact theory. In the end, we will present some observations on the relations between mock-modular forms and APS eta invariant.

Arxiv: 1905.0510