Supersymmetry and trace formulas II. Selberg trace formula
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910848603127808 |
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| author | Choi, Changha Takhtajan, Leon A. |
| author_facet | Choi, Changha Takhtajan, Leon A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13636 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Supersymmetry and trace formulas II. Selberg trace formula Choi, Changha Takhtajan, Leon A. High Energy Physics - Theory Differential Geometry Representation Theory 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. |
| title | Supersymmetry and trace formulas II. Selberg trace formula |
| topic | High Energy Physics - Theory Differential Geometry Representation Theory |
| url | https://arxiv.org/abs/2306.13636 |