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Title: Proof of 5D Aₙ AGT conjecture at β = 1
Authors: Shen, Q
Huang, ZH
Hu, SP 
Yuan, QJ
Zhang, K
Issue Date: Sep-2024
Source: Journal of high energy physics, Sept 2024, v. 2024, no. 9, 85
Abstract: In this paper, we give a proof of 5D An 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 An Selberg integral, which generalizes the An Selberg integral and the q-deformed A1 Selberg integral in the literature. A q-deformed An Selberg average formula with n + 1 Schur polynomials is proposed and proved to complete the proof.
Keywords: Conformal and W Symmetry
Conformal Field Models in String Theory
Quantum Groups
Supersymmetric Gauge Theory
Publisher: Springer
Journal: Journal of high energy physics 
EISSN: 1029-8479
DOI: 10.1007/JHEP09(2024)085
Rights: © The Authors.
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) (http://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
The following publication Shen, Q., Huang, ZH., Hu, SP. et al. Proof of 5D An AGT conjecture at β = 1. J. High Energ. Phys. 2024, 85 (2024) is available at https://doi.org/10.1007/JHEP09(2024)085.
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