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Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
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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.
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Cited by 2 Pith papers
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A Bogomol'nyi-Prasad-Sommerfield bound with a first-order system in the $2D$ Gross-Pitaevskii equation
A BPS bound and first-order system are built for the 2D Gross-Pitaevskii equation, with analytic solutions carrying fractional phase winding 1/3 on conical and annular geometries.
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Fractional vorticity, Bogomol'nyi-Prasad-Sommerfield systems and complex structures for the (generalized) spinor Gross-Pitaevskii equations
First-order BPS systems and explicit fractional-vorticity solutions are derived for generalized 2D Gross-Pitaevskii equations with fifth- and sixth-order self-interactions.
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