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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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6528https://doi.org/10.4213/tmf6528 https://www.mathnet.ru/eng/tmf/v164/i1/p119
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Abstract page: | 539 | Full-text PDF : | 214 | References: | 60 | First page: | 21 |
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