A note on S-duality for the N=1*Sp(2n) and SO(2n+1) super-Yang-Mills theories

被引：7
|
作者：
Wyllard, Niclas [1 ]
机构：
[1] Chalmers Univ Technol, Dept Fundamental Phys, S-41296 Gothenburg, Sweden
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2007年 / 06期
关键词：
supersymmetry and duality; duality in gauge field theories;
D O I：
10.1088/1126-6708/2007/06/077
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We study the N = 1* supersymmetric gauge theories with gauge groups Sp(2n) and SO(2n + 1). These theories are obtained for the corresponding N = 4 supersymmetric Yang-Mills theories via a mass deformation. We show that the number of quantum vacua in the Sp(2n) theory is equal to the number of quantum vacua in the SO(2n + 1) theory. This constitutes non-trivial support for S-duality between these theories. The verification of the equality of the number of quantum vacua involves a rather esoteric identity due to Ramanujan.
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页数：9
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