Nahm Transform and Spectral Curves¶for Doubly-Periodic Instantons
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We present the Nahm transform of the doubly-periodic instantons (i.e. instantons on T 2×ℝ2), converting them into certain meromorphic solutions of Hitchin's equations over an elliptic curve. We then show how to construct a triple consisting of an algebraic curve plus a line bundle with connection over it from a doubly-periodic instanton, and that such data coincides with the Hitchin spectral data associated with the Nahm transformed Higgs bundle.
KeywordsSpectral Data Line Bundle Elliptic Curve Algebraic Curve Spectral Curf
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