MISC

2011年4月20日

Quantum Hitchin Systems via beta-deformed Matrix Models

  • Giulio Bonelli
  • ,
  • Kazunobu Maruyoshi
  • ,
  • Alessandro Tanzini

記述言語
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

We study the quantization of Hitchin systems in terms of beta-deformations of<br />
generalized matrix models related to conformal blocks of Liouville theory on<br />
punctured Riemann surfaces. We show that in a suitable limit, corresponding to<br />
the Nekrasov-Shatashvili one, the loop equations of the matrix model reproduce<br />
the Hamiltonians of the quantum Hitchin system on the sphere and the torus with<br />
marked points. The eigenvalues of these Hamiltonians are shown to be the<br />
epsilon1-deformation of the chiral observables of the corresponding N=2 four<br />
dimensional gauge theory. Moreover, we find the exact wave-functions in terms<br />
of the matrix model representation of the conformal blocks with degenerate<br />
field insertions.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1104.4016
URL
http://arxiv.org/abs/1104.4016v2

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