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

Kenkyu-Honkan bldg. 1F - Kobayashi Hall

Liouville Irregular States and Argyres-Douglas theories

Speakers

  • Mr. Takahiro UETOKO

Description

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]