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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 1, Pages 119–140
DOI: https://doi.org/10.4213/tmf6528 (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
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DOI: https://doi.org/10.4213/tmf6528
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.
Received: 22.01.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 1, Pages 929–946
DOI: https://doi.org/10.1007/s11232-010-0074-7
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Document Type: Article
Language: Russian
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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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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