Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-55354
Gillioz, M (2011). Classical skyrmions in SU(N)/SO(N) cosets. Journal of High Energy Physics, (9):14.
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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.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Theoretical Physics|
|Deposited On:||18 Feb 2012 16:31|
|Last Modified:||14 Apr 2014 17:18|
|ISSN:||1126-6708 (P) 1029-8479 (E)|
|Additional Information:||The original publication is available at www.springerlink.com|
|Citations:||Web of Science®. Times Cited: 1|
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