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Two-dimensional gravity in genus one in matrix models, topological and liouville approaches

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Abstract

One-matrix model in p-critical point on torus is considered. The generating function of correlation numbers in genus one is evaluated and used for computation correlation numbers in KdV and CFT frames. It is shown that the correlation numbers in KdV frame in genus one satisfy the Witten topological gravity recurrence relations.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117940, Russia

    A. A. Belavin & G. M. Tarnopolsky

  2. Department of General and Applied Physics, Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow region, 141700, Russia

    G. M. Tarnopolsky

Authors
  1. A. A. Belavin
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  2. G. M. Tarnopolsky
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Correspondence to A. A. Belavin.

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Belavin, A.A., Tarnopolsky, G.M. Two-dimensional gravity in genus one in matrix models, topological and liouville approaches. Jetp Lett. 92, 257–267 (2010). https://doi.org/10.1134/S0021364010160137

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  • DOI: https://doi.org/10.1134/S0021364010160137

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