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Unconventional supersymmetry at the boundary of AdS4 supergravity

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A bstractIn this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of N=2$$ \mathcal{N}=2 $$, AdS4 supergravity to N=2$$ \mathcal{N}=2 $$ supergravity on a… Click to show full abstract

A bstractIn this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of N=2$$ \mathcal{N}=2 $$, AdS4 supergravity to N=2$$ \mathcal{N}=2 $$ 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.

Keywords: supergravity; supersymmetry boundary; unconventional supersymmetry; ads4 supergravity

Journal Title: Journal of High Energy Physics
Year Published: 2018

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