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arXiv · 1308.6099

Exact BPS bound for noncommutative baby Skyrmions

Andrei Domrin·Olaf Lechtenfeld·Roman Linares·Marco Maceda
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Abstract

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.

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Andrei Domrin, Olaf Lechtenfeld, Roman Linares, Marco Maceda. 2013-08-28. Exact BPS bound for noncommutative baby Skyrmions. https://doi.org/10.1016/j.physletb.2013.10.023

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