Fermi gas formalism for D-type quiver Chern-Simons theory with non-uniform ranks
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916331803115520 |
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| author | Kubo, Naotaka Nosaka, Tomoki |
| author_facet | Kubo, Naotaka Nosaka, Tomoki |
| contents | We construct the Fermi gas formalism for the partition function of supersymmetric Chern-Simons theories with affine $D$-type quiver diagrams with non-uniform ranks of the gauge groups and Fayet-Illiopoulos parameters by two different approaches: the open string formalism and the closed string formalism. In the closed string formalism approach, we find a novel connection between the partition function of this theory and the partition function of a four-nodes circular quiver supersymmetric Chern-Simons theory. We also studied a symmetry of a density matrix appeared in the closed string formalism. We further calculate the exact values of the partition function for finite $N$, with which we identified the exponent of the leading non-perturbative effect in $1/N$ corresponding to the worldsheet instantons in the circular quiver supersymmetric Chern-Simons theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12808 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermi gas formalism for D-type quiver Chern-Simons theory with non-uniform ranks Kubo, Naotaka Nosaka, Tomoki High Energy Physics - Theory We construct the Fermi gas formalism for the partition function of supersymmetric Chern-Simons theories with affine $D$-type quiver diagrams with non-uniform ranks of the gauge groups and Fayet-Illiopoulos parameters by two different approaches: the open string formalism and the closed string formalism. In the closed string formalism approach, we find a novel connection between the partition function of this theory and the partition function of a four-nodes circular quiver supersymmetric Chern-Simons theory. We also studied a symmetry of a density matrix appeared in the closed string formalism. We further calculate the exact values of the partition function for finite $N$, with which we identified the exponent of the leading non-perturbative effect in $1/N$ corresponding to the worldsheet instantons in the circular quiver supersymmetric Chern-Simons theories. |
| title | Fermi gas formalism for D-type quiver Chern-Simons theory with non-uniform ranks |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.12808 |