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arXiv · 1711.02649

The Nahm-Schmid equations and Hypersymplectic Geometry

Roger Bielawski·Nuno M. Romão·Markus Röser
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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.

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Roger Bielawski, Nuno M. Romão, Markus Röser. 2017-11-07. The Nahm-Schmid equations and Hypersymplectic Geometry. https://arxiv.org/abs/1711.02649

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