On the Maxwell supergravity and flat limit in 2+1 dimensions
Patrick Concha, Diego M. Pe\~nafiel, Evelyn Rodr\'iguez
TL;DR
This paper constructs a 3D Maxwell supergravity theory via Chern-Simons action, explores its relation to AdS-Lorentz supergravity, and examines the flat limit at algebraic and action levels.
Contribution
It introduces a minimal Maxwell supergravity model in 2+1 dimensions and analyzes its flat limit from AdS-Lorentz supergravity.
Findings
Supergravity action without cosmological constant derived
Maxwell supergravity as flat limit of AdS-Lorentz supergravity
Flat limit applied to algebra, action, and field equations
Abstract
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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