Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach

Abstract

This is a status report about the ongoing work on the realization of quantum field theory on curved graphene spacetimes that uses Weyl symmetry. The programme is actively pursued from many different perspectives. Here we point to what has been done, and to what needs to be done.

82 pages, 19 figures; review. arXiv admin note: substantial text overlap with arXiv:1308.0265

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Cited by in corpus (17)

• Hunting Quantum Gravity with Analogs: the case of graphene
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Graphene and Black Holes: novel materials to reach the unreachable
• Torsion at different scales: from materials to the Universe
• Generalized Ellis-Bronnikov graphene wormhole
• Electronic states in a quantum Beltrami surface
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Unconventional Supersymmetry via the Dressing Field Method
• Quantum black holes as classical space factories
• Smart Holes: Analogue black holes with the right temperature and entropy
• Fractional vorticity, Bogomol'nyi-Prasad-Sommerfield systems and complex structures for the (generalized) spinor Gross-Pitaevskii equations
• Electronic states in a bilayer graphene quantum ripple
• Stability of graphene hyperbolic pseudospheres under harsh conditions
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory
• Scalar vacuum densities on Beltrami pseudosphere
• Quasiparticle picture from the Bekenstein bound
• Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime