Hyperkahler Metrics from Monopole Walls
High Energy Physics - Theory
2014-04-02 v2 Mathematical Physics
math.MP
Abstract
We present ALH hyperkahler metrics induced from well-separated SU(2) monopole walls which are equivalent to monopoles on T^2 x R. The metrics are explicitly obtained due to Manton's observation by using explicit monopole solutions. These are doubly-periodic and have the modular invariance with respect to the complex structure of the complex torus T^2. We also derive metrics from monopole walls with Dirac-type singularities.
Keywords
Cite
@article{arxiv.1311.7143,
title = {Hyperkahler Metrics from Monopole Walls},
author = {Masashi Hamanaka and Hiroaki Kanno and Daichi Muranaka},
journal= {arXiv preprint arXiv:1311.7143},
year = {2014}
}
Comments
7 pages, 2 figures, LaTeX; v2: a reference added, minor changes, version to appear in Phys. Rev. D