Metric in the moduli of SU(2) monopoles from spectral curves and Gauss-Manin connection in disguise

Abstract

We show here that from the metric of the manifold $M_2^0$ , i.e., the reduced moduli of SU(2) 2-monopoles in Yang-Mills-Higgs theory, one can recover the respective moduli of spectral curves using the method Gauss-Manin connection in disguise. This work is a step towards creating a inverse process of finding the metric of any $M_k^0$ , from spectral curves. This is a thirty years old problem that we hope to shed some light in it.

16 pages

References in corpus (3)

• BPS Monopoles
• Symbolic Dynamics, Modular Curves, and Bianchi IX Cosmologies
• Manifold Ways to Darboux-Halphen System

Cited by in corpus (1)

• Manifold Ways to Darboux-Halphen System