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arXiv · 0705.2412

The Nahm transform for calorons

Benoit Charbonneau·Jacques Hurtubise
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Abstract

In this paper, we complete the proof of an equivalence given by Nye and Singer of the equivalence between calorons (instantons on $S^1\times R^3$) and solutions to Nahm's equations over the circle, both satisfying appropriate boundary conditions. Many of the key ingredients are provided by a third way of encoding the same data which involves twistors and complex geometry.

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Benoit Charbonneau, Jacques Hurtubise. 2007-05-16. The Nahm transform for calorons. https://arxiv.org/abs/0705.2412

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