1:30 pm MCP 201
Supersymmetry and trace formulas.
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 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.