Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-24
Physics
High Energy Physics
High Energy Physics - Theory
8 pages; in version 2 references added; in version 3, two more references and comment added
Scientific paper
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.
Durka R.
Kowalski-Glikman Jerzy
Szczachor Michal
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