Gauged AdS-Maxwell algebra and gravity

DOI10.1142/S0217732311037078zbMATH Open1274.83110arXiv1107.4728OpenAlexW2025379902WikidataQ59700241 ScholiaQ59700241MaRDI QIDQ2861633

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Publication date: 11 November 2013

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1107.4728

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