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Baby Skyrme model and fermionic zero modes

J. M. Queiruga*

  • Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany

  • *jose.queiruga@kit.edu

Phys. Rev. D 94, 065022 – Published 15 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.065022

Abstract

In this work we investigate some features of the fermionic sector of the supersymmetric version of the baby Skyrme model. We find that, in the background of Bogomol’nyi-Prasad-Sommerfield compact baby Skyrmions, fermionic zero modes are confined to the defect core. Further, we show that, while three Supersymmetry (SUSY) generators are broken in the defect core, SUSY is completely restored outside. We study also the effect of a D-term deformation of the model. Such a deformation allows for the existence of fermionic zero modes and broken SUSY outside the compact defect.

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