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arXiv · 1801.08081

Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity

L. Andrianopoli·B. L. Cerchiai·R. D'Auria·M. Trigiante
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Abstract

In this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of N=2, AdS_4 supergravity to N=2 supergravity on a locally AdS_3 boundary. Our boundary theory enjoys OSp(2|2) x SO(1,2) invariance and is shown to contain the D=3 super-Chern Simons OSp(2|2) theory considered in [Alvarez:2011gd] 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 [Alvarez:2011gd] 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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L. Andrianopoli, B. L. Cerchiai, R. D'Auria, M. Trigiante. 2018-01-24. Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity. https://doi.org/10.1007/jhep04(2018)007

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