2013/08/08 by Éverton M. C. Abreu, Abreu, Everton M. C., M. A. De Andrade +9
Materials Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Graphene research and applications #High Energy Physics - Theory (hep-th) #Materials Science (cond-mat.mtrl-sci) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Noncommutative and Quantum Gravity Theories #Quantum and electron transport phenomena #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.1308.2028
openalex publication_date 2013/08/08 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In a previous work, we have been able to settle Jackiw's et al. chiral gauge\ntheory for Dirac fermions in graphene in an N=1 supersymmetric framework, using\na tau3-QED prescription, defined by means of a single pair of gauge charged\nsuperfields, but without preserving a global phase symmetry associated to the\nelectric charge. In the present work, we propose another N=1-generalisation\nwhich indeed preserves this symmetry, namely, a straightforward extension built\nupon a set of two pairs of (chiral) gauge-charged superfields plus an extra\npair of electrically neutral superfields. We then further proceed to establish,\nvia a dimensional reduction procedure, an N=2 extension, allowing for the\nidentification of non-perturbative features, as we put forward Bogomol'nyi\nequations and obtain vortex-like solutions saturating a topologically\nnon-trivial bound. Remarkably, the bosonic projection of the N=2 functional\nspace onto the saturated regime analysed herewith reveals to be free from extra\nscalar degrees of freedom that would otherwise demand a phenomenological\ninterpretation. The investigation of Jackiw's model within an N=2 complex\nsuperspace is also motivated by the assumption that an R-parity-like symmetry\ncould provide a route to incorporate the global phase-fermion number invariance\nas an external-like symmetry of the theory, thus associating the electric\ncharge in graphene to the complex covariance (super-)space for the N=2-D=3\nsetup. We prove such a hypothesis to be realisable, as we build up the model\nendowed with all the symmetries required to further extend Jackiw's chiral\ngauge theory.\n