On AGT relation in the case of \(U(3)\)

DOI10.1016/J.NUCLPHYSB.2009.09.011zbMATH Open1196.81205arXiv0908.2569OpenAlexW3021476080MaRDI QIDQ1960166

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Publication date: 12 October 2010

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Abstract: We consider the AGT relation, expressing conformal blocks for the Virasoro and W-algebras in terms of Nekrasov's special functions, in the simplest case of the 4-point functions for the first non-trivial W_3 algebra. The standard set of Nekrasov functions is sufficient only if additional null-vector restriction is imposed on a half of the external $W$-primaries and this is just the case when the conformal blocks are fully dictated by W-symmetry and do not depend on a particular model. Explicit checks confirm that the AGT relation survives in this restricted case, as expected.

Full work available at URL: https://arxiv.org/abs/0908.2569

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