q-Virasoro algebra at root of unity limit and 2d-4d connection

21st International Conference on Integrable Systems and Quantum Symmetries

Itoyama, H.^1,2 ; Oota, T.^2 ; Yoshioka, R.^2

Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan^1

Osaka City University Advanced Mathematical Institute (OCAMI), 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan^2

关键词: D-connection;    Instantons;    Partition functions;    Virasoro algebra;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012022/pdf
DOI  :  10.1088/1742-6596/474/1/012022

来源: IOP

【 摘 要 】

We propose a limiting procedure in which, starting from the q-lifted version (or K-theoretic five dimensional version) of the (W)AGT conjecture to be assumed, the Virasoro/W block is generated in the r-th root of unity limit in q in the 2d side, while the same limit automatically generates the projection of the five dimensional instanton partition function onto that on the ALE space 4/r. This proceeding is based on arXiv:1308.2068.