Proving AGT relations in the large-c limit

preprint2009arXivOpen access

Abstract

In the limit of large central charge cc the 4-point Virasoro conformal block becomes a hypergeometric function. It is represented by a sum of chiral Nekrasov functions, which can also be explicitly evaluated. In this way the known proof of the AGT relation is extended from special to generic set of external states, but in the special limit of c=\infty.

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