Extended diffeomorphism algebras in (quantum) gravitational physics

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 developed mathematical formalism makes contact with 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.

arXiv comment20 pages, LATEX, no figures

References in corpus (6)

• BF gravity and the Immirzi parameter
• Statistical Mechanics and Black Hole Thermodynamics
• Lowest-energy representations of non-centrally extended diffeomorphism algebras
• The Electromagnetic and Proca Fields Revisited: a Unified Quantization
• Group Approach to Quantization of Yang-Mills Theories: A Cohomological Origin of Mass
• An effective quantum mechanism for mass generation in diffeomorphism-invariant theories

Cited by in corpus (1)

• Coherent States of Accelerated Relativistic Quantum Particles, Vacuum Radiation and the Spontaneous Breakdown of the Conformal SU(2,2) Symmetry