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Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions

Patrick ConchaDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, ChileMarcelo IpinzaInstituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaiso, ChileEvelyn RodríguezDepartamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Viña del Mar, Chile
2020en
ABI

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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.

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