JETP Letters

, Volume 92, Issue 4, pp 257–267 | Cite as

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

  • A. A. Belavin
  • G. M. Tarnopolsky
Scientific Summaries


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.


Partition Function Matrix Model Orthogonal Polynomial JETP Letter Recursion Relation 
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Department of General and Applied PhysicsMoscow Institute of Physics and TechnologyDolgoprudnyi, Moscow regionRussia

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