Supersymmetry and trace formulas. Part III. Frenkel trace formula
Abstract
A bstract By applying the new supersymmetric localization principle introduced in [5, 6], we present two complementary approaches for the path integral derivation of the ‘non-chiral’ trace formula for a semisimple compact Lie group G , which generalizes the so-called Frenkel trace formula. Corresponding physical systems for each picture are the quantum mechanical sigma model on G and the gauged sigma model on G × G , and the approaches closely follow the spirit of the Eskin trace formula [5] and the Selberg trace formula [6] respectively. These methods provide a natural conceptual bridge between two seemingly independent derivations in [5, 6].
Fields of Study & Subjects
History and advancements in chemistry
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 6
- Publication date
- 18 June 2026
- Language
- EN