論文

査読有り
2018年3月1日

Quantum Hitchin Systems via β -Deformed Matrix Models

Communications in Mathematical Physics
  • Giulio Bonelli
  • ,
  • Kazunobu Maruyoshi
  • ,
  • Alessandro Tanzini

358
3
開始ページ
1041
終了ページ
1064
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s00220-017-3053-0
出版者・発行元
Springer New York LLC

We study the quantization of Hitchin systems in terms of β-deformations of generalized matrix models related to conformal blocks of Liouville theory on punctured Riemann surfaces. We show that in a suitable limit, corresponding to the Nekrasov–Shatashvili one, the loop equations of the matrix model reproduce the Hamiltonians of the quantum Hitchin system on the sphere and the torus with marked points. The eigenvalues of these Hamiltonians are shown to be the ϵ1-deformation of the chiral observables of the corresponding N= 2 four dimensional gauge theory. Moreover, we find the exact wave-functions in terms of the matrix model representation of the conformal blocks with degenerate field insertions.

リンク情報
DOI
https://doi.org/10.1007/s00220-017-3053-0

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