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

O. V. Alekseev, M. A. Bershtein

Research output

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.

Original languageEnglish
Pages (from-to)929-946
Number of pages18
JournalTheoretical and Mathematical Physics
Volume164
Issue number1
DOIs
Publication statusPublished - 11 Aug 2010
Externally publishedYes

Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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