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On the Maxwell supergravity and flat limit in 2 + 1 dimensions

Patrick ConchaInstituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaiso, ChileD. M. PeñafielInstituto 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
2018en
ABI

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The construction of the three-dimensional Chern–Simons supergravity theory invariant under the minimal Maxwell superalgebra is presented. We obtain a supergravity action without cosmological constant term characterized by three coupling constants. We also show that the Maxwell supergravity presented here appears as a vanishing cosmological constant limit of a minimal AdS–Lorentz supergravity. The flat limit is applied at the level of the superalgebra, Chern–Simons action, supersymmetry transformation laws and field equations.

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