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arXiv · 1712.05075

Spatially periodic instantons: Nahm transform and moduli

Benoit Charbonneau·Jacques Hurtubise
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Abstract

This paper establishes that the Nahm transform sending spatially periodic instantons (instantons on the product of the real line and a three-torus) to singular monopoles on the dual three-torus is indeed a bijection as suggested by the heuristic. In the process, we show how the Nahm transform intertwines to a Fourier-Mukai transform via Kobayashi-Hitchin correspondences. We also prove existence and non-existence results.

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BibTeXRIS

Benoit Charbonneau, Jacques Hurtubise. 2017-12-14. Spatially periodic instantons: Nahm transform and moduli. https://doi.org/10.1007/s00220-018-3155-3

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