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Supersymmetry and trace formulas II. Selberg trace formula

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arxiv 2306.13636 v3 pith:ZINOAVVQ submitted 2023-06-23 hep-th math.DGmath.RT

Changha Choi , Leon A. Takhtajan This is my paper · ORCID
classification hep-thmath.DGmath.RT
keywords traceformulaselbergarbitrarycompactautomorphiccasechoi
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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 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Localization of strings on group manifolds

    hep-th 2025-06 conditional novelty 7.0 of 10

    Supersymmetric localization reproduces the WZW partition function as a sum over abelian classical solutions, verified for SU(2) and extended to SL(2,R) and H_3^+.

  2. Supersymmetry and trace formulas III. Frenkel trace formula

    hep-th 2025-02 conditional novelty 5.0 of 10

    This paper derives an exact path-integral formula for a left-right translated heat kernel trace on a compact semisimple Lie group, generalizing Frenkel's trace formula.

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