N=2 gauge theories and degenerate fields of Toda theory

被引:48
作者
Kanno, Shoichi [1 ]
Matsuo, Yutaka [1 ]
Shiba, Shotaro [1 ]
Tachikawa, Yuji [2 ]
机构
[1] Univ Tokyo, Fac Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
[2] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
来源
PHYSICAL REVIEW D | 2010年 / 81卷 / 04期
关键词
SYMMETRY; MODELS;
D O I
10.1103/PhysRevD.81.046004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss the correspondence between degenerate fields of the W-N algebra and punctures of Gaiotto's description of the Seiberg-Witten curve of N = 2 superconformal gauge theories. Namely, we find that the type of degenerate fields of the W-N algebra, with null states at level one, is classified by Young diagrams with N boxes, and that the singular behavior of the Seiberg-Witten curve near the puncture agrees with that of W-N generators. We also find how to translate mass parameters of the gauge theory to the momenta of the Toda theory.
引用
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页数:10
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