1993/03/05 by Martin A. Guest, Guest, M. A., Yoshihiro Ohnita +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.hep-th/9303037
openalex publication_date 1993/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Sn-model, the CPn-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 Sn-model.