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Generalized maxwellian exotic bargmann gravity theory in three spacetime dimensions

2020, Concha-Aguilera, Patrick, Dra. RodrĂ­guez-DurĂ¡n, Evelyn, Ipinza, Marcelo

We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity theory based on this new algebra is also constructed and discussed. We point out that the extended Bargmann and its Maxwellian generalization are particular sub-cases of the generalized Maxwellian extended Bargmann gravity introduced here. The extension of our results using the semigroup expansion method is also discussed.