The Nahm-Schmid equations and Hypersymplectic Geometry
Differential Geometry
2020-05-05 v1
Abstract
We explore the geometry of the Nahm-Schmid equations, a version of Nahm's equations in split signature. Our discussion ties up different aspects of their integrable nature: dimensional reduction from the Yang--Mills anti-self-duality equations, explicit solutions, Lax-pair formulation, conservation laws and spectral curves, as well as their relation to hypersymplectic geometry.
Cite
@article{arxiv.1711.02649,
title = {The Nahm-Schmid equations and Hypersymplectic Geometry},
author = {Roger Bielawski and Nuno M. Romão and Markus Röser},
journal= {arXiv preprint arXiv:1711.02649},
year = {2020}
}
Comments
29 pages