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

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

2011-03-30

arxiv.org/abs/1103.5990v2

JHEP 1109:014,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures; v2: discussion improved

Scientific paper

10.1007/JHEP09(2011)014

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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