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arXiv · 0905.4077

Noncommutative Baby Skyrmions

Theodora Ioannidou·Olaf Lechtenfeld
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Abstract

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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Theodora Ioannidou, Olaf Lechtenfeld. 2009-06-29. Noncommutative Baby Skyrmions. https://doi.org/10.1016/j.physletb.2009.06.070

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