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Gauged AdS-Maxwell algebra and gravity
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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.
Forward citations
Cited by 3 Pith papers
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Non-Lorentzian Supergravity and Kinematical Superalgebras
Supersymmetric extensions of extended kinematical algebras are classified via semigroup expansion, and non-degenerate Chern-Simons supergravity actions are constructed in three dimensions.
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On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
New infinite-dimensional superalgebras, the deformed and enlarged super-BMS3 algebras for N=1,2,4, are produced by S-expanding super-Virasoro and are related by a flat limit.
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Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
The asymptotic symmetry algebra of three-dimensional Maxwell Chern-Simons gravity with spin-3 fields is a new nonlinear algebra, hs3max-bms3, which is also obtained as the flat limit of three copies of the W3 algebra.
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