Moduli spaces with external fields
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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 to the Grassmanian.
Cite
@article{arxiv.hep-th/0610220,
title = {Moduli spaces with external fields},
author = {Maciej Dunajski and Marcin Kaźmierczak},
journal= {arXiv preprint arXiv:hep-th/0610220},
year = {2008}
}
Comments
19 pages. Final version, to appear in the Journal of Geometry and Physics