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

O. V. Alekseev, M. A. Bershtein

Research output: Contribution to journalArticlepeer-review

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 - 2010
Externally publishedYes

Keywords

  • BRST cohomology
  • Conformal field theory
  • Liouville gravity

Fingerprint

Dive into the research topics of 'The ring of physical states in the M(2, 3) minimal Liouville gravity'. Together they form a unique fingerprint.

Cite this