Dynamics on the Virasoro group, 2D gravity and hidden symmetries期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Dynamics on the Virasoro group, 2D gravity and hidden symmetries

Authors:	Victor Aldaya Jos Navarro-Salas Miguel Navarro

Institution:	^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.

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