On the fundamental group of the space of harmonic $2$-spheres in the $n$-sphere
We compute the fundamental group of the "moduli space" of classical solutions of the two dimensional Euclidean $S^n$-model.
hep-th↗
arXiv subjects
Y. Ohnita
Publications and source records attributed to Y. Ohnita.
Group actions and deformations for harmonic maps
We obtain some new results on classical solutions of two dimensional Euclidean sigma models. From earlier work of Din-Zakrzewski, Glaser-Stora, and numerous differential geometers, one knows explicit solutions in the case of the $S^n$-model, the $CP^n$-model, and the $U(n)$-model. However, very little is known about the "moduli space" of solutions itself. In this paper we study the connected components of these spaces. In a subsequent paper (with M. Furuta and M. Kotani), we compute the fundamental group, in the case of the $S^n$-model.
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