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Classical Virasoro irregular conformal block

High Energy Physics - Theory 2015-08-04 v2 Mathematical Physics math.MP

Abstract

Virasoro irregular conformal block with arbitrary rank is obtained for the classical limit or equivalently Nekrasov-Shatashvili limit using the beta-deformed irregular matrix model (Penner-type matrix model for the irregular conformal block). The same result is derived using the generalized Mathieu equation which is equivalent to the loop equation of the irregular matrix model.

Cite

@article{arxiv.1504.07910,
  title  = {Classical Virasoro irregular conformal block},
  author = {Chaiho Rim and Hong Zhang},
  journal= {arXiv preprint arXiv:1504.07910},
  year   = {2015}
}

Comments

18 pages; v2: comments and references added, version to appear in JHEP

R2 v1 2026-06-22T09:25:08.177Z