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Bibliographic Details
Main Authors:	Choi, Changha, Takhtajan, Leon A.
Format:	Preprint
Published:	2023
Subjects:	High Energy Physics - Theory Differential Geometry Representation Theory
Online Access:	https://arxiv.org/abs/2306.13636
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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.