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Dynamics on the Virasoro group, 2D gravity and hidden symmetries
Authors:Victor Aldaya, Jos   Navarro-Salas,Miguel Navarro
Affiliation:

a Departamento de Física Teòrica y del Cosmos, Facultad de Ciencias, Universidad de Granada, Campus de Fuentenueva, E-18002, Granada, Spain

b IFIC, Centro Mixto Universidad de València - CSIC, E-46100, Burjasot (Valencia, Spain

c Blackett Laboratory, Imperial College of Science, Technology and Medicine, Prince Consort Road, London SW7 2BZ, UK

d Departamento de Física Teòrica, Facultad de Físicas, E-46100, Burjasot (Valencia, Spain

Abstract:We derive the action of 2D gravity from the two-cocycle of the Virasoro group by using a previously introduced method for constructing a dynamical system from a Lie group. A natural construction and explanation of the hidden SL(2, )-Kac-Moody symmetry, of general applicability, is provided. We also show how the proper quantization goes beyond the ordinary co-adjoint orbit method, and the possible connection with the Poisson-Lie groups.
Keywords:
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