Group theoretical derivation of Liouville action for Regge surfaces

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages, LaTex file

Scientific paper

10.1016/S0550-3213(98)00124-2

We show that the structure of the Liouville action on a two dimensional Regge
surface of the topology of the sphere and of the torus is determined by the
invariance under the transformations induced by the conformal Killing vector
fields and under modular transformations.

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