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TMF, 2010, Volume 164, Number 1, Pages 119–140 (Mi tmf6528)  

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

O. V. Alekseeva, M. A. Bershteinab

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
b Independent University of Moscow, Moscow, Russia

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

DOI: https://doi.org/10.4213/tmf6528

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English version:
Theoretical and Mathematical Physics, 2010, 164:1, 929–946

Bibliographic databases:

Received: 22.01.2010

Citation: O. V. Alekseev, M. A. Bershtein, “The ring of physical states in the $M(2,3)$ minimal Liouville gravity”, TMF, 164:1 (2010), 119–140; Theoret. and Math. Phys., 164:1 (2010), 929–946

Citation in format AMSBIB
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