Abstract
In this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of \( \mathcal{N}=2 \), AdS4 supergravity to \( \mathcal{N}=2 \) 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.
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Andrianopoli, L., Cerchiai, B.L., D’Auria, R. et al. Unconventional supersymmetry at the boundary of AdS4 supergravity. J. High Energ. Phys. 2018, 7 (2018). https://doi.org/10.1007/JHEP04(2018)007
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DOI: https://doi.org/10.1007/JHEP04(2018)007