Supersymmetry and trace formulas

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• Chagha Choi (Stony Brook)
• Thursday 17 February 2022, 16:00-17:00
• Online (Zoom).

If you have a question about this talk, please contact Chiung Hwang.

In the context of supersymmetric quantum mechanics, we present a new class of supersymmetric localization principles with an application to trace formulas in mathematics describing full thermal partition function. Contrary to the standard supersymmetric localization, this new principle deals with a supertrace of non-supersymmetric observables. Moreover, the invariant deformation on the path integral side localizes onto non-trivial periodic orbits. We illustrate the principle by deriving bosonic trace formulas on compact Lie groups.

This talk is part of the Quantum Fields and Strings Seminars series.

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