Unconventional supersymmetry at the boundary of AdS4 supergravity

Abstract

Abstract In this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of $$ \mathcal{N}=2 $$ N = 2 , AdS4 supergravity to $$ \mathcal{N}=2 $$ N = 2 supergravity on a locally AdS3 boundary. Our boundary theory enjoys OSp(2|2) × SO(1,2) invariance and is shown to contain the D = 3 super-Chern Simons OSp(2|2) theory considered in [1] and featuring “unconventional local supersymmetry”. The model constructed in that reference describes the dynamics of a spin-1/2 Dirac field in the absence of spin 3/2 gravitini and was shown to be relevant for the description of graphene, near the Dirac points, for specific spatial geometries. Our construction yields the model in [1] with a specific prescription on the parameters. In this framework the Dirac spin-1/2 fermion originates from the radial components of the gravitini in D = 4.