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\( \mathcal{N} \) -extended D = 4 supergravity, unconventional SUSY and graphene

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Abstract

We derive a 2+1 dimensional model with unconventional supersymmetry at the boundary of an AdS4\( \mathcal{N} \) -extended supergravity, generalizing previous results. The (unconventional) extended supersymmetry of the boundary model is instrumental in describing, within a top-down approach, the electronic properties of graphene-like 2D materials at the two Dirac points, K and K. The two valleys correspond to the two independent sectors of the OSp(p|2) × OSp(q|2) boundary model in the p = q case, which are related by a parity transformation. The Semenoff and Haldane-type masses entering the corresponding Dirac equations are identified with the torsion parameters of the substrate in the model.

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Correspondence to B.L. Cerchiai.

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ArXiv ePrint: 1910.03508

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Andrianopoli, L., Cerchiai, B., D’Auria, R. et al. \( \mathcal{N} \) -extended D = 4 supergravity, unconventional SUSY and graphene. J. High Energ. Phys. 2020, 84 (2020). https://doi.org/10.1007/JHEP01(2020)084

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Keywords

  • Chern-Simons Theories
  • Holography and condensed matter physics (AdS/ CMT)
  • Supergravity Models