Spatially Periodic Instantons: Nahm Transform and Moduli

被引：3
|
作者：
Charbonneau, Benoit [1 ,2 ]
Hurtubise, Jacques [3 ]
机构：
[1] Univ Waterloo, Dept Pure Math, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada
[2] Univ Waterloo, Dept Phys & Astron, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada
[3] McGill Univ, Dept Math & Stat, 805 Sherbrooke St W, Montreal, PQ H3A 2K6, Canada
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2019年 / 365卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
HERMITIAN-EINSTEIN METRICS; YANG-MILLS FIELDS; CYLINDRICAL MANIFOLDS; CONSTRUCTION; MONOPOLES; CONNECTIONS; SURFACES; BUNDLES;
D O I：
10.1007/s00220-018-3155-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页码：255 / 293
页数：39
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