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In this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of N=2, AdS4 supergravity to 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. [ABSTRACT FROM AUTHOR]

Hidden conformal symmetries of scalar field on various black hole backgrounds have been investigated for years, but whether those features hold for other fields are still open questions. Recently, with proper assumptions, Lunin achieved to the separation of variables for Maxwell equations on Kerr background. In this paper, with that equation, we find that hidden conformal symmetry appears at near region under low frequency limit. We also extended those results to vector field on the more general Kerr-NUT-(A)dS background, then hidden conformal symmetry also appears if we focusing on the near-horizon region at low frequency limit. [ABSTRACT FROM AUTHOR]