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arXiv · 1910.03508

$\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene

L. Andrianopoli·B. L. Cerchiai·R. D'Auria·A. Gallerati·R. Noris·M. Trigiante·J. Zanelli
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Abstract

We derive a $2+1$ dimensional model with unconventional supersymmetry at the boundary of an ${\rm AdS}_4$ $\mathcal{N}$-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, ${\bf K}$ and ${\bf K}'$. The two valleys correspond to the two independent sectors of the ${\rm OSp}(p|2)\times {\rm OSp}(q|2)$ 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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L. Andrianopoli, B. L. Cerchiai, R. D'Auria, A. Gallerati, R. Noris, M. Trigiante, J. Zanelli. 2019-10-08. $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene. https://doi.org/10.1007/jhep01(2020)084

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