Trace formulas from Supersymmetric localizations
Changha Choi Perimeter Institute for Theoretical Physics
Collection
Talk Type
Scientific Series
Subject
Abstract
We present a new class of supersymmetric localization principles in the context of supersymmetric quantum mechanics. Contrary to the standard localization, this new principle deals with non-supersymmetric observables. We apply this to provide a path integral understanding of trace formulas in mathematics. Our examples will contain both integrable and chaotic quantum systems, namely trace formulas on compact Lie groups by Eskin, and generic locally symmetric space by Selberg.
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