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

Theoretical and Mathematical Physics
 Pub Date:
 July 2010
 DOI:
 10.1007/s1123201000747
 arXiv:
 arXiv:0906.1377
 Bibcode:
 2010TMP...164..929A
 Keywords:

 conformal field theory;
 Liouville gravity;
 BRST cohomology;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 16 pages Revised version with updates. The arguments in section 4 have been improved