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

@article{Gillioz2011ClassicalSI,
title={Classical skyrmions in SU(N)/SO(N) cosets},
author={Marc Gillioz},
journal={Journal of High Energy Physics},
year={2011},
volume={2011},
pages={1-14}
}
• M. Gillioz
• Published 30 March 2011
• Physics
• Journal of High Energy Physics
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 ${\pi_3}\left( {{{{{\text{SU}}(3)}} \left/ {{{\text{SO}}(3)}} \right.}} \right) = {\mathbb{Z}_4}$ 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…
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