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Classical skyrmions in SU(N)/SO(N) cosets


Gillioz, M (2011). Classical skyrmions in SU(N)/SO(N) cosets. Journal of High Energy Physics, (9):14.

Abstract

We construct the skyrmion solutions appearing in the coset spaces SU(N)/SO(N) for N > 2 and compute their classical mass. For N = 3, the third homotopy group pi_3(SU(3)/SO(3)) = Z_4 implies the existence of two distinct solutions: the skyrmion of winding number two has spherical symmetry and is found to be the lightest non-trivial field configuration; the skyrmion and antiskyrmion of winding number plus and minus one are slightly heavier and of toroidal shape. For N >= 4, there is only one skyrmion since the third homotopy group is Z_2. It is found to have spherical symmetry and is significantly lighter than the N = 3 solutions.

We construct the skyrmion solutions appearing in the coset spaces SU(N)/SO(N) for N > 2 and compute their classical mass. For N = 3, the third homotopy group pi_3(SU(3)/SO(3)) = Z_4 implies the existence of two distinct solutions: the skyrmion of winding number two has spherical symmetry and is found to be the lightest non-trivial field configuration; the skyrmion and antiskyrmion of winding number plus and minus one are slightly heavier and of toroidal shape. For N >= 4, there is only one skyrmion since the third homotopy group is Z_2. It is found to have spherical symmetry and is significantly lighter than the N = 3 solutions.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:September 2011
Deposited On:18 Feb 2012 15:31
Last Modified:05 Apr 2016 15:23
Publisher:Springer
ISSN:1126-6708 (P) 1029-8479 (E)
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:10.1007/JHEP09(2011)014
Related URLs:http://arxiv.org/abs/1103.5990
Permanent URL: http://doi.org/10.5167/uzh-55354

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