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EXTENDED DIFFEOMORPHISM ALGEBRAS IN (QUANTUM) GRAVITATIONAL PHYSICS

Instituto de Astrofísica de Andalucía (CSIC), Apartado Postal 3004, 18080 Granada, Spain

Instituto Carlos I de Física Teórica y Computacional, Facultad de Ciencias, Universidad de Granada, Campus de Fuentenueva, Granada 18002, Spain

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and

J. L. JARAMILLO

Instituto de Astrofísica de Andalucía (CSIC), Apartado Postal 3004, 18080 Granada, Spain

Instituto Carlos I de Física Teórica y Computacional, Facultad de Ciencias, Universidad de Granada, Campus de Fuentenueva, Granada 18002, Spain

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https://doi.org/10.1142/S0217751X03016021Cited by:1 (Source: Crossref)

Abstract

We construct an explicit representation of the algebra of local diffeomorphisms of a manifold with realistic dimensions. This is achieved in the setting of a general approach to the (quantum) dynamics of a physical system which is characterized by the fundamental role assigned to a basic underlying symmetry. The mathematical formalism developed addresses the relevant gravitational notions by means of the addition of some extra structure. The specific manners in which this is accomplished, together with their corresponding physical interpretation, lead to different gravitational models. Distinct strategies are in fact briefly outlined, showing the versatility of the present conceptual framework.

Work partially supported by the DGICYT.

Keywords:

PACS: 02.20.Tw, 04.60.-m, 03.65.Fd

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