Gauged AdS-Maxwell algebra and gravity

Abstract

We deform the anti-de Sitter algebra by adding additional generators ${\mathcal{Z}}_{ab}$, forming in this way the negative cosmological constant counterpart of the Maxwell algebra. We gauge this algebra and construct a dynamical model with the help of a constrained the BF theory. It turns out that the resulting theory is described by the Einstein-Cartan action with Holst term, and the gauge fields associated with the Maxwell generators ${\mathcal{Z}}_{ab}$ appear only in topological terms that do not influence dynamical field equations. We briefly comment on the extension of this construction, which would lead to a nontrivial Maxwell fields dynamics.

8 pages; in version 2 references added; in version 3, two more references and comment added

References in corpus (6)

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• Generalized cosmological term from Maxwell symmetries
• Deformations of Maxwell algebra and their Dynamical Realizations
• General relativity with a topological phase: an action principle
• Deformations of Maxwell Superalgebras and Their Applications
• Topological excitations around the vacuum of quantum gravity I: The symmetries of the vacuum

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