English

Generalized Skyrme Crystals

High Energy Physics - Theory 2011-01-27 v1

Abstract

This letter deals with triply-periodic (crystalline) solutions in a family of Skyrme systems, namely where the field takes values in the squashed 3-sphere. The family includes the standard Skyrme model (round 3-sphere), and the Skyrme-Faddeev case (maximal squashing). In the round case, the lowest-energy crystal is the well-known cubic lattice of half-skyrmions; but in the squashed case the minimal-energy crystal structures turn out to be different. We describe some of the solutions that arise, including arrays of vortices and multi-sheeted structures.

Keywords

Cite

@article{arxiv.1012.4090,
  title  = {Generalized Skyrme Crystals},
  author = {J. Silva Lobo and R. S. Ward},
  journal= {arXiv preprint arXiv:1012.4090},
  year   = {2011}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T17:01:00.410Z