The dynamics of vortices on S2 near the Bradlow limit

DOI10.1063/1.1584526zbMATH Open1062.58022arXivhep-th/0208001OpenAlexW3098101860MaRDI QIDQ4833070

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Publication date: 14 December 2004

Published in: (Search for Journal in Brave)

Abstract: The explicit solutions of the Bogomolny equations for N vortices on a sphere of radius R^2 > N are not known. In particular, this has prevented the use of the geodesic approximation to describe the low energy vortex dynamics. In this paper we introduce an approximate general solution of the equations, valid for R^2 close to N, which has many properties of the true solutions, including the same moduli space CP^N. Within the framework of the geodesic approximation, the metric on the moduli space is then computed to be proportional to the Fubini- Study metric, which leads to a complete description of the particle dynamics.

Full work available at URL: https://arxiv.org/abs/hep-th/0208001

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