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.

V2, 17 pages, version accepted for publication in Physics Letters B

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Cited by in corpus (6)

• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
• The gauging procedure and carrollian gravity