Proof of 5D $A_n$ AGT conjecture at $\beta=1$
High Energy Physics - Theory
2024-10-25 v2 Mathematical Physics
math.MP
Abstract
In this paper, we give a proof of 5D AGT conjecture at , 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 Selberg integral, which generalizes the Selberg integral and the q-deformed Selberg integral in the literature. A q-deformed Selberg average formula with Schur polynomials is proposed and proved to complete the proof.
Keywords
Cite
@article{arxiv.2405.13676,
title = {Proof of 5D $A_n$ AGT conjecture at $\beta=1$},
author = {Qian Shen and Zi-Hao Huang and Shao-Ping Hu and Qing-Jie Yuan and Kilar Zhang},
journal= {arXiv preprint arXiv:2405.13676},
year = {2024}
}
Comments
19 pages; v2: published version, with the conjecture for the q-deformed $A_n$ Selberg average formula of $n+1$ Schur polynomials proved