Noncommutative Baby Skyrmions

Details Noncommutative Baby Skyrmions Noncommutative Baby Skyrmions

2009-05-25

arxiv.org/abs/0905.4077v2

Phys.Lett.B678:508-511,2009

Physics

High Energy Physics

High Energy Physics - Theory

1+8 pages; v2: introduction extended, to appear in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2009.06.070

We subject the baby Skyrme model to a Moyal deformation, for unitary or Grassmannian target spaces and without a potential term. In the abelian case, the radial BPS configurations of the ordinary noncommutative sigma model also solve the baby Skyrme equation of motion. This gives a class of exact analytic noncommutative baby Skyrmions, which have a singular commutative limit but are stable against scaling due to the noncommutativity. We compute their energies, investigate their stability and determine the asymptotic two-Skyrmion interaction.

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