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

Abstract

We derive a $2+1$ dimensional model with unconventional supersymmetry at the boundary of an ${\mathrm{AdS}}_4$ $\mathcal{N}$-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, $\mathbf{K}$ and ${\mathbf{K}}^{\prime }$. The two valleys correspond to the two independent sectors of the $\mathrm{OSp}(p|2)\times \mathrm{OSp}(q|2)$ 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.

27 pages, 1 figure

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Substrate-induced band gap opening in epitaxial graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Emergence of supersymmetry at a critical point of a lattice model
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Weyl-Gauge Symmetry of Graphene
• N=1 and N=2 pure supergravities on a manifold with boundary
• The Quantum Theory of Chern-Simons Supergravity

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• Hunting Quantum Gravity with Analogs: the case of graphene
• Unconventional SUSY and Conventional Physics: A Pedagogical Review
• Graphene, Dirac equation and analogue gravity
• Chiral gauge theory and gravity from unconventional supersymmetry
• Interaction between macroscopic quantum systems and gravity
• Superconductors and gravity