Trace formulas from Supersymmetric localizations


Choi, C. (2022). Trace formulas from Supersymmetric localizations. Perimeter Institute. https://pirsa.org/22090076


Choi, Changha. Trace formulas from Supersymmetric localizations. Perimeter Institute, Sep. 13, 2022, https://pirsa.org/22090076


          @misc{ pirsa_PIRSA:22090076,
            doi = {10.48660/22090076},
            url = {https://pirsa.org/22090076},
            author = {Choi, Changha},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Trace formulas from Supersymmetric localizations},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {sep},
            note = {PIRSA:22090076 see, \url{https://pirsa.org}}

Changha Choi Perimeter Institute for Theoretical Physics


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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