Monopoles, Curves and Ramanujan

Details Monopoles, Curves and Ramanujan Monopoles, Curves and Ramanujan

2007-04-30

arxiv.org/abs/0704.3939v1

Physics

Mathematical Physics

Rewritten version of math-ph/0601040

Scientific paper

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.

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