Monopoles, Curves and Ramanujan
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We develop the Ercolani-Sinha construction of SU(2) monopoles and make this effective for (a five parameter family of centred) charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number theoretic problem and a recently proven identity of Ramanujan provides a solution.
Cite
@article{arxiv.0704.3939,
title = {Monopoles, Curves and Ramanujan},
author = {H. W. Braden and V. Z. Enolski},
journal= {arXiv preprint arXiv:0704.3939},
year = {2007}
}