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Supersymmetry and trace formulas II. Selberg trace formula
[Submitted on 23 Jun 2023 (v1), last revised 25 Jun 2026 (this v · 2026-06-26 · via math updates on arXiv.org

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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 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.

Submission history

From: Changha Choi [view email]
[v1] Fri, 23 Jun 2023 17:46:58 UTC (27 KB)
[v2] Fri, 7 Feb 2025 02:50:07 UTC (35 KB)
[v3] Thu, 25 Jun 2026 03:15:14 UTC (35 KB)