Generalized matrix models and AGT correspondence at all genera

Details Generalized matrix models and AGT correspondence at all genera Generalized matrix models and AGT correspondence at all genera

2010-11-24

arxiv.org/abs/1011.5417v2

JHEP 1107:055,2011

Physics

High Energy Physics

High Energy Physics - Theory

19 pages; v2: version to appear in JHEP

Scientific paper

10.1007/JHEP07(2011)055

We study generalized matrix models corresponding to n-point Virasoro conformal blocks on Riemann surfaces with arbitrary genus g. Upon AGT correspondence, these describe four dimensional N=2 SU(2)^{n+3g-3} gauge theories with generalized quiver diagrams. We obtain the generalized matrix models from the perturbative evaluation of the Liouville correlation functions and verify the consistency of the description with respect to degenerations of the Riemann surface. Moreover, we derive the Seiberg-Witten curve for the N=2 gauge theory as the spectral curve of the generalized matrix model, thus providing a check of AGT correspondence at all genera.

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