Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912220379611136 |
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| author | Hong, Junho |
| author_facet | Hong, Junho |
| contents | We undertake a comprehensive analysis of the supersymmetric partition function of the $\text{U}(N)_k\times\text{U}(N)_{-k}$ ABJM theory on a Seifert manifold, evaluating it to all orders in the $1/N$-perturbative expansion up to exponentially suppressed corrections. Through holographic duality, our perturbatively exact result is successfully matched with the regularized on-shell action of a dual Euclidean AdS$_4$-Taub-Bolt background incorporating 4-derivative corrections, and also provides valuable insights into the logarithmic corrections that emerge from the 1-loop calculations in M-theory path integrals. In this process, we revisit the Euclidean AdS$_4$-Taub-Bolt background carefully, elucidating the flat connection in the background graviphoton field. This analysis umambiguously determines the U(1)$_R$ holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large class of Seifert manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09006 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography Hong, Junho High Energy Physics - Theory We undertake a comprehensive analysis of the supersymmetric partition function of the $\text{U}(N)_k\times\text{U}(N)_{-k}$ ABJM theory on a Seifert manifold, evaluating it to all orders in the $1/N$-perturbative expansion up to exponentially suppressed corrections. Through holographic duality, our perturbatively exact result is successfully matched with the regularized on-shell action of a dual Euclidean AdS$_4$-Taub-Bolt background incorporating 4-derivative corrections, and also provides valuable insights into the logarithmic corrections that emerge from the 1-loop calculations in M-theory path integrals. In this process, we revisit the Euclidean AdS$_4$-Taub-Bolt background carefully, elucidating the flat connection in the background graviphoton field. This analysis umambiguously determines the U(1)$_R$ holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large class of Seifert manifolds. |
| title | Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.09006 |