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Roger Bielawski, Nuno M Romão, Markus Röser, The Nahm–Schmid equations and hypersymplectic geometry, The Quarterly Journal of Mathematics, Volume 69, Issue 4, December 2018, Pages 1253–1286, https://doi.org/10.1093/qmath/hay023
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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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