Nahm Transform and Spectral Curves¶for Doubly-Periodic Instantons

被引：0
|
作者：
Marcos Jardim
机构：
[1] University of Pennsylvania,
[2] Department of Mathematics,undefined
[3] Philadelphia,undefined
[4] PA 19104-6593,undefined
[5] USA,undefined
来源：
Communications in Mathematical Physics | 2002年 / 225卷
关键词：
Spectral Data; Line Bundle; Elliptic Curve; Algebraic Curve; Spectral Curf;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present the Nahm transform of the doubly-periodic instantons (i.e. instantons on T2×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.
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页码：639 / 668
页数：29
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