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Proof of 5D An AGT conjecture at β = 1

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2024年9月17日

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  • Qian Shen,
  • Zi-Hao Huang,
  • Shao-Ping Hu,
  • Qing-Jie Yuan,
  • Kilar Zhang

摘要

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.