The noncommutative baby Skyrme model is a Moyal deformation of the two-dimensional sigma model plus a Skyrme term, with a group-valued or Grassmannian target. Exact abelian solitonic solutions have been identified analytically in this model, with a singular commutative limit. Inside any given Grassmannian, we establish a BPS bound for the energy functional, which is saturated by these baby Skyrmions. This asserts their stability for unit charge, as we also test in second-order perturbation theory.
@article{arxiv.1308.6099,
title = {Exact BPS bound for noncommutative baby Skyrmions},
author = {Andrei Domrin and Olaf Lechtenfeld and Roman Linares and Marco Maceda},
journal= {arXiv preprint arXiv:1308.6099},
year = {2015}
}