The Nahm transform for calorons

Details The Nahm transform for calorons The Nahm transform for calorons

2007-05-16

arxiv.org/abs/0705.2412v1

Mathematics

Differential Geometry

Dedicated to Nigel Hitchin on the occasion of his sixtieth birthday

Scientific paper

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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