期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2014)037
关键词
Matrix Models; Supersymmetric gauge theory; AdS-CFT Correspondence; Extended Supersymmetry
资金
- U.S. Department of Energy [DE-FG02-05ER41360]
- Pappalardo Fellowship in Physics at MIT
In this note, we calculate the S-3 free energy F of 3-d N >= 4 supersymmetric gauge theories with U(N), O(N), and USp(2 N) gauge groups and matter hypermultiplets in the fundamental and two-index tensor representations. Supersymmetric localization reduces the computation of F to a matrix model that we solve in the large N limit using two different methods. The first method is a saddle point approximation first introduced in [1], which we extend to next-to-leading order in 1/N. The second method generalizes the Fermi gas approach of [2] to theories with symplectic and orthogonal gauge groups, and yields an expression for F valid to all orders in 1/N. In developing the second method, we use a non-trivial generalization of the Cauchy determinant formula.
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