Noncommutative Baby Skyrmions
arXiv:0905.4077 · doi:10.1016/j.physletb.2009.06.070
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.
1+8 pages; v2: introduction extended, to appear in Phys.Lett.B
References in corpus (8)
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Komaba Lectures on Noncommutative Solitons and D-Branes
- Noncommutative Multi-Solitons in 2+1 Dimensions
- Scattering of Noncommutative Solitons in 2+1 Dimensions
- Noncommutative Solitons
- Approximate analytical solutions of the baby Skyrme model