Virasoro irregular conformal block and beta deformed random matrix model

Sang Kwan Choi; Chaiho Rim; Hong Zhang

doi:10.1016/j.physletb.2015.01.003

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arXiv · 1411.4453

Virasoro irregular conformal block and beta deformed random matrix model

Sang Kwan Choi·Chaiho Rim·Hong Zhang

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Abstract

Virasoro irregular conformal block is presented as the expectation value of Jack-polynomials of the beta-deformed Penner-type matrix model and is compared with the inner product of Gaiotto states with arbitrary rank. It is confirmed that there are non-trivial modifications of the Gaiotto states due to the normalization of the states. The relation between the two is explicitly checked for rank 2 irregular conformal block.

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Sang Kwan Choi, Chaiho Rim, Hong Zhang. 2014-11-17. Virasoro irregular conformal block and beta deformed random matrix model. https://doi.org/10.1016/j.physletb.2015.01.003

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