17-20 December 2018
Kenkyu-Honkan bldg. 1F
Japan timezone
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Kenkyu-Honkan bldg. 1F - Kobayashi Hall

Liouville Irregular States and Argyres-Douglas theories


  • Mr. Takahiro UETOKO


We study the Liouville irregular states proposed by Gaiotto and Teschner, and evaluate irregular conformal blocks corresponding to the Nekrasov partition functions of the (A1,D4) and (A1,A3) Algyres-Douglas theories. The salient feature of this calculation is that we discuss the Q-dependence of Nekrasov partition function in the 2d-4d relation. Q is the Liouville charge and corresponds to a parameter of the Omega background. Then we find that the Q-dependence of parameters are consistent with the flavor symmetry. Moreover, we discuss a generalization to rank-n irregular state. [Based on a collaboration with Takahiro Nishinaka]