Ring of physical states in the M(2,3) Minimal Liouville gravity

Details Ring of physical states in the M(2,3) Minimal Liouville gravity Ring of physical states in the M(2,3) Minimal Liouville gravity

2009-06-08

arxiv.org/abs/0906.1377v2

Theor.Math.Phys.164:929-946,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages Revised version with updates. The arguments in section 4 have been improved

Scientific paper

10.1007/s11232-010-0074-7

We consider the M(2,3) Minimal Liouville gravity, whose states in the gravity sector are represented by irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes. This construction is based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We construct an algebra of operators acting on the BRST cohomology space. The operator algebra of physical states is established by use of these operators.

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