de Sitter gauge theories and induced gravities

Abstract

Pure de Sitter, anti de Sitter, and orthogonal gauge theories in four-dimensional Euclidean spacetime are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective geometry may be induced and a gravity theory emerges. The asymptotic freedom and the running of the mass might account for an Inönü-Wigner contraction which induces a breaking of the gauge group to the Lorentz group, while the mass itself is responsible for the coset sector of the gauge field to be identified with the effective vierbein. Furthermore, the resulting local isometries are Lorentzian for the anti de Sitter group and Euclidean for the de Sitter and orthogonal groups.

Sections added. Text reviewed. References added. 14 pages, no figures. Final version to appear in EPJC

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Cited by in corpus (11)

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• From $SL(5,\mathbb{R})$ Yang-Mills theory to induced gravity
• Constrained gauge-gravity duality in three and four dimensions
• Induced gravity from gauge theories
• Geometrodynamical description of two-dimensional electrodynamics
• About the (in)equivalence between holonomic versus non-holonomic theories of gravity
• Quadratic curvature terms and deformed Schwarzschild-de Sitter black hole analogues in the laboratory
• Homological aspects of topological gauge-gravity equivalence
• Static and spherically symmetric solutions in a scenario with quadratic curvature contribution
• Gravity model from (A)dS Yang-Mills theory