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Abstract |
We present an N=2-supersymmetric extension [1] of Jackiw-Pi´s chiral gauge theory (CGT) [2] originally
designed to describe Dirac electrons in graphene. The augmented framework allows for the identification
of non-perturbative solutions, as vortex-like configurations that saturate a topologically non-trivial (BPS-
)bound are proven to be. Remarkably, that regime reveals to be free from extra scalar degrees of freedom
brought about to the model as needed partners to fermions in such a linear realisation of supersymmetry,
but lacking a phenomenological interpretation. Furthermore, inherent R-Parity provides the room for
incorporating a global phase-fermion number symmetry already manifest in the CGT, but now regarded as
an external (superspace) invariance. Comments on the fermionic mass-matrix and perspectives shall
compose our conclusions.
[1] E.M.C. Abreu, M.A. De Andrade, L.P.G. De Assis, J.A. Helayël-Neto, A.L.M.A. Nogueira, R.C.
Paschoal, Annals of Physics 354 (2015) 618–636.
[2] R. Jackiw, S.-Y. Pi, Phys. Rev. Lett. 98 (2007) 266402. |
