English

Virasoro irregular conformal block and beta deformed random matrix model

High Energy Physics - Theory 2015-01-27 v1 Mathematical Physics math.MP

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.

Cite

@article{arxiv.1411.4453,
  title  = {Virasoro irregular conformal block and beta deformed random matrix model},
  author = {Sang Kwan Choi and Chaiho Rim and Hong Zhang},
  journal= {arXiv preprint arXiv:1411.4453},
  year   = {2015}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-22T07:01:20.950Z