Supersymmetry and trace formulas II. Selberg trace formula
Abstract
By extending the new supersymmetric localization principle introduced in [2], we present a path integral derivation of the Selberg trace formula on arbitrary compact Riemann surfaces, including the case of vector-valued automorphic forms of arbitrary half-integer weight corresponding to Maass Laplacian. We also generalize the method to formulate the Selberg trace formula on generic compact locally symmetric space.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Advances in Theoretical and Mathematical Physics
- Volume
- 30
- Issue
- 3
- Pages
- 871–916
- Publication date
- 1 January 2026
- Language
- EN