Affine SL(2) Conformal Blocks from 4d Gauge Theories

被引：136
|
作者：
Alday, Luis F. [1 ]
Tachikawa, Yuji [1 ]
机构：
[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2010年 / 94卷 / 01期
基金：
美国国家科学基金会;
关键词：
conformal field theory; gauge theory; SUPERSYMMETRIC GAUGE; CURVES;
D O I：
10.1007/s11005-010-0422-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study Nekrasov's instanton partition function of four-dimensional N = 2 gauge theories in the presence of surface operators. This can be computed order by order in the instanton expansion by using results available in the mathematical literature. Focusing in the case of SU(2) quiver gauge theories, we find that the results agree with a modified version of the conformal blocks of affine SL(2) algebra. These conformal blocks provide, in the critical limit, the eigenfunctions of the corresponding quantized Hitchin Hamiltonians.
引用
收藏
页码：87 / 114
页数：28
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