Comments on higher rank Wilson loops in N=2

被引:0
作者
Liu, James T. [1 ]
Zayas, Leopoldo A. Pando [2 ]
Zhou, Shan [3 ]
机构
[1] Univ Michigan, Randall Lab Phys, Leinweber Ctr Theoret Phys, 450 Church St, Ann Arbor, MI 48109 USA
[2] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34014 Trieste, Italy
[3] Tsinghua Univ, Inst Interdisciplinary Informat Sci, 30 Shuangqing Rd, Beijing 100084, Peoples R China
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 01期
关键词
1/N Expansion; Wilson; 't Hooft and Polyakov loops; AdS-CFT Correspondence;
D O I
10.1007/JHEP01(2018)047
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
For N = 2* theory with U(N) gauge group we evaluate expectation values of Wilson loops in representations described by a rectangular Young tableau with n rows and k columns. The evaluation reduces to a two-matrix model and we explain, using a combination of numerical and analytical techniques, the general properties of the eigen-value distributions in various regimes of parameters (N, lambda, n, k) where is the 't Hooft coupling. In the large N limit we present analytic results for the leading and sub-leading contributions. In the particular cases of only one row or one column we reproduce previously known results for the totally symmetry and totally antisymmetric representations. We also extensively discusss the N = 4 limit of the N = 2* theory. While establishing these connections we clarify aspects of various orders of limits and how to relax them; we also find it useful to explicitly address details of the genus expansion. As a result, for the totally symmetric Wilson loop we find new contributions that improve the comparison with the dual holographic computation at one loop order in the appropriate regime.
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页数:27
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