Regge-Liouville action from group theory

Details Regge-Liouville action from group theory Regge-Liouville action from group theory

1998-10-06

arxiv.org/abs/hep-th/9810036v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages LaTeX, to appear in the proceedings of ``Path Integrals from peV to TeV'', Florence-Italy, August 25-29, 1998

Scientific paper

We work out the constraints imposed by SL(2C) invariance for sphere topology and modular invariance for torus topology, on the discretized form of Liouville action in Polyakov's non local covariant form. These are sufficient to completely fix the discretized action except for the overall normalization constant and a term which in the continuum limit goes over to a topological invariant. The treatment can be extended to the supersymmetric case.

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