2011年7月

# Generalized matrix models and AGT correspondence at all genera

JOURNAL OF HIGH ENERGY PHYSICS
• Giulio Bonelli
• ,
• Kazunobu Maruyoshi
• ,
• Alessandro Tanzini
• ,
• Futoshi Yagi

7

DOI
10.1007/JHEP07(2011)055

SPRINGER

We study generalized matrix models corresponding to n-point Virasoro conformal blocks on Riemann surfaces with arbitrary genus g. Upon ACT 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 ACT correspondence at all genera.

Web of Science ® 被引用回数 : 19

リンク情報
DOI
https://doi.org/10.1007/JHEP07(2011)055
arXiv
http://arxiv.org/abs/arXiv:1011.5417
Web of Science