The ring of physical states in the <Emphasis Type="Italic">M</Emphasis>(2, 3) minimal Liouville gravity |
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Authors: | O V Alekseev M A Bershtein |
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Institution: | 1.Landau Institute for Theoretical Physics,RAS,Chernogolovka, Moscow Oblast,Russia;2.Independent University of Moscow,Moscow,Russia |
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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. |
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Keywords: | |
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