Group theoretical derivation of Liouville action for Regge surfaces. (English) Zbl 0953.83001
Summary: 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.
MSC:
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 83C45 | Quantization of the gravitational field |
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