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.
引用
收藏
页数:9
相关论文
共 18 条
  • [1] Argyres PC, 2006, J HIGH ENERGY PHYS
  • [2] BARUAH ND, 2006, PARTITION IDENTITIES
  • [3] Berndt B. C., 1991, Ramanujan's Notebooks
  • [4] Supersymmetric Yang-Mills theory and integrable systems[J]. Donagi, R;Witten, E. NUCLEAR PHYSICS B, 1996(02)
  • [5] Dorey N, 1999, J HIGH ENERGY PHYS
  • [6] Dynkin E. B., 1952, AM MATH SOC TRANSL 2, V30, P349
  • [7] GAUGE THEORIES AND MAGNETIC CHARGE[J]. GODDARD, P;NUYTS, J;OLIVE, D. NUCLEAR PHYSICS B, 1977(01)
  • [8] HENNINGSON M, LOW ENERGY SPECTRUM
  • [9] Normalized vacuum states in N=4 supersymmetric Yang-Mills quantum mechanics with any gauge group[J]. Kac, VG;Smilga, AV. NUCLEAR PHYSICS B, 2000(03)
  • [10] KEURENTJES JAH, NEW VACUA YANG MILLS