Supersymmetric zeta functions and determinants
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918221690437632 |
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| author | Nakayama, Yu Okazaki, Tadashi |
| author_facet | Nakayama, Yu Okazaki, Tadashi |
| contents | We define supersymmetric zeta functions and supersymmetric determinants, which can reveal spectral properties complementary to those captured by the supersymmetric indices. They play a crucial role in analyzing the Cardy-like behaviors of the supersymmetric indices and the supersymmetric Casimir energies associated with the supersymmetric partition functions. We investigate a variety of examples of the supersymmetric zeta functions and determinants for two-, four-, and six-dimensional supersymmetric field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22822 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric zeta functions and determinants Nakayama, Yu Okazaki, Tadashi High Energy Physics - Theory We define supersymmetric zeta functions and supersymmetric determinants, which can reveal spectral properties complementary to those captured by the supersymmetric indices. They play a crucial role in analyzing the Cardy-like behaviors of the supersymmetric indices and the supersymmetric Casimir energies associated with the supersymmetric partition functions. We investigate a variety of examples of the supersymmetric zeta functions and determinants for two-, four-, and six-dimensional supersymmetric field theories. |
| title | Supersymmetric zeta functions and determinants |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.22822 |