Moduli spaces with external fields

Details Moduli spaces with external fields Moduli spaces with external fields

2006-10-19

arxiv.org/abs/hep-th/0610220v2

J.Geom.Phys.57:1883-1894,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. Final version, to appear in the Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2007.03.006

We consider the geometric structures on the moduli space of static finite energy solutions to the 2+1 dimensional unitary chiral model with the Wess-Zummino-Witten (WZW) term. It is shown that the magnetic field induced by the WZW term vanishes when restricted to the moduli spaces constructed from the Grassmanian embeddings, so that the slowly moving solitons can in some cases be approximated by a geodesic motion on a space of rational maps from $\CP^1$ to the Grassmanian.

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