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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Charbonneau, B., Hurtubise, J. Spatially Periodic Instantons: Nahm Transform and Moduli. Commun. Math. Phys. 365, 255–293 (2019). https://doi.org/10.1007/s00220-018-3155-3
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DOI: https://doi.org/10.1007/s00220-018-3155-3