AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit

Abstract

Carroll symmetries arise when the velocity of light is sent to zero (ultra-relativistic limit). In this paper, we present the construction of the three-dimensional Chern-Simons supergravity theory invariant under the so-called AdS Carroll superalgebra, which was obtained in the literature as a contraction of the AdS superalgebra. The action is characterized by two coupling constants. Subsequently, we study its flat limit, obtaining the three-dimensional Chern-Simons supergravity theory invariant under the super-Carroll algebra, which is a contraction of the Poincaré superalgebra. We apply the flat limit at the level of the superalgebra, Chern-Simons action, supersymmetry transformation laws, and field equations.

arXiv commentV2, 17 pages, version accepted for publication in Physics Letters B

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Cited by in corpus (31)

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• Carroll Expansion of General Relativity
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• Carrollian manifolds and null infinity: A view from Cartan geometry
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• Three-dimensional Maxwellian extended Bargmann supergravity
• Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Carroll versus Galilei from a Brane Perspective
• Three-dimensional non-relativistic extended supergravity with cosmological constant
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