1. Proof of 5D $A_n$ AGT conjecture at $\beta=1$
- Author
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Shen, Qian, Huang, Zi-Hao, Hu, Shao-Ping, Yuan, Qing-Jie, and Zhang, Kilar
- Subjects
High Energy Physics - Theory ,Mathematical Physics - Abstract
In this paper, we give a proof of 5D $A_n$ AGT conjecture at $\beta=1$, 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., Comment: 19 pages; v2: published version, with the conjecture for the q-deformed $A_n$ Selberg average formula of $n+1$ Schur polynomials proved
- Published
- 2024
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