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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.13676 |
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| _version_ | 1866910664635711488 |
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| author | Shen, Qian Huang, Zi-Hao Hu, Shao-Ping Yuan, Qing-Jie Zhang, Kilar |
| author_facet | Shen, Qian Huang, Zi-Hao Hu, Shao-Ping Yuan, Qing-Jie Zhang, Kilar |
| contents | In this paper, we give a proof of 5D $A_n$ AGT conjecture at $β=1$, where the gauge theory side is one dimension higher than the original 4D case, and corresponds to the q-deformation of the 2D conformal field theory side. We define a q-deformed $A_n$ Selberg integral, which generalizes the $A_n$ Selberg integral and the q-deformed $A_1$ Selberg integral in the literature. A q-deformed $A_n$ Selberg average formula with $n+1$ Schur polynomials is proposed and proved to complete the proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13676 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proof of 5D $A_n$ AGT conjecture at $β=1$ Shen, Qian Huang, Zi-Hao Hu, Shao-Ping Yuan, Qing-Jie Zhang, Kilar High Energy Physics - Theory Mathematical Physics In this paper, we give a proof of 5D $A_n$ AGT conjecture at $β=1$, where the gauge theory side is one dimension higher than the original 4D case, and corresponds to the q-deformation of the 2D conformal field theory side. We define a q-deformed $A_n$ Selberg integral, which generalizes the $A_n$ Selberg integral and the q-deformed $A_1$ Selberg integral in the literature. A q-deformed $A_n$ Selberg average formula with $n+1$ Schur polynomials is proposed and proved to complete the proof. |
| title | Proof of 5D $A_n$ AGT conjecture at $β=1$ |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2405.13676 |