Theoretical and Mathematical Physics

, Volume 164, Issue 1, pp 929–946 | Cite as

The ring of physical states in the M(2, 3) minimal Liouville gravity

Article

Abstract

We consider the M(2, 3) minimal Liouville gravity, whose state space in the gravity sector is realized as irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We find a certain algebra acting on the BRST cohomology space and use this algebra to find the operator algebra of physical states.

Keywords

conformal field theory Liouville gravity BRST cohomology 

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Copyright information

© MAIK/Nauka 2010

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsRASChernogolovka, Moscow OblastRussia
  2. 2.Independent University of MoscowMoscowRussia

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