Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity

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.

23 pages

References in corpus (10)

• The electronic properties of graphene
• Holographic renormalization and supersymmetry
• N=1 and N=2 pure supergravities on a manifold with boundary
• Torsion and the Gravity Dual of Parity Symmetry Breaking in AdS4/CFT3 Holography
• A cosmological model for corrugated graphene sheets
• Conformal Mass in AdS gravity
• Supergravity at the boundary of AdS supergravity
• Tensor calculus for supergravity on a manifold with boundary
• The supermultiplet of boundary conditions in supergravity
• Holography and Renormalization in Lorentzian Signature

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• Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory
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• $\mathcal{N}=2$ AdS${}_4$ supergravity, holography and Ward identities
• Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
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• The Quantum Theory of Chern-Simons Supergravity
• Dressing fields for supersymmetry: The cases of the Rarita-Schwinger and gravitino fields
• New Torsional Deformations of Locally AdS${}_3$ Space
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Unconventional Supersymmetry via the Dressing Field Method
• On the geometric approach to the boundary problem in supergravity