Supersymmetry and trace formulas II. Selberg trace formula
High Energy Physics - Theory
2025-03-03 v2 Differential Geometry
Representation Theory
Abstract
By extending the new supersymmetric localization principle introduced in \cite{Choi:2021yuz}, we present a path integral derivation of the Selberg trace formula on arbitrary compact Riemann surfaces, including the case of arbitrary vector-valued automorphic form and weight corresponding to Maass Laplacian. We also generalize the method to formulate the Selberg trace formula on generic compact locally symmetric space.
Cite
@article{arxiv.2306.13636,
title = {Supersymmetry and trace formulas II. Selberg trace formula},
author = {Changha Choi and Leon A. Takhtajan},
journal= {arXiv preprint arXiv:2306.13636},
year = {2025}
}
Comments
33 pages, Journal submitted version including more details