MISC

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
記述言語
英語
掲載種別
機関テクニカルレポート,技術報告書,プレプリント等
DOI
10.1007/JHEP07(2011)055
出版者・発行元
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
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000293741400055&DestApp=WOS_CPL
URL
http://arxiv.org/abs/1011.5417v2

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