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arxiv: 1411.4453 · v1 · submitted 2014-11-17 · ✦ hep-th · math-ph· math.MP

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Virasoro irregular conformal block and beta deformed random matrix model

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classification ✦ hep-th math-phmath.MP
keywords blockconformalirregularstatesgaiottomatrixmodelrank
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the monodromy of KZ-connections with irregular singularities

    hep-th 2026-03 unverdicted novelty 7.0

    KZ connections with irregular singularities have monodromies that realize topological invariants of links and tangles.