Geodesic
The~ring of physical states in the~$M(2,3)$ minimal Liouville gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 119-140

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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. 
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     author = {O. V. Alekseev and M. A. Bershtein},
     title = {The~ring of physical states in the~$M(2,3)$ minimal {Liouville} gravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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O. V. Alekseev; M. A. Bershtein. The~ring of physical states in the~$M(2,3)$ minimal Liouville gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 1, pp. 119-140. http://geodesic.mathdoc.fr/item/TMF_2010_164_1_a7/