1998/10/06 by Pietro Menotti, P. Menotti, Menotti, P.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Scientific Research and Discoveries #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9810036
4 pages LaTeX, to appear in the proceedings of ``Path Integrals from peV to TeV'', Florence-Italy, August 25-29, 1998
arxiv created 1998/10/06 · openalex publication_date 1998/10/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.