Noncommutative Baby Skyrmions
High Energy Physics - Theory
2011-07-19 v2 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.0905.4077,
title = {Noncommutative Baby Skyrmions},
author = {Theodora Ioannidou and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:0905.4077},
year = {2011}
}
Comments
1+8 pages; v2: introduction extended, to appear in Phys.Lett.B