Wilson loops in large symmetric representations through a double-scaling limit

被引:4
|
作者
Rodriguez-Gomez, D. [1 ,2 ]
Russo, J. G. [3 ,4 ,5 ]
机构
[1] Univ Oviedo, Dept Phys, C Federico Garcia Lorca 18, Oviedo 33007, Spain
[2] Inst Univ Ciencias & Tecnol Espaciales Asturias I, C Independencia 13, Oviedo 33004, Spain
[3] Inst Catalana Recerca & Estudis Avancats ICREA, Pg Lluis Companys 23, Barcelona 08010, Spain
[4] Univ Barcelona, Dept Fis Cuant & Astrofis, Marti Franques 1, E-08028 Barcelona, Spain
[5] Univ Barcelona, Inst Ciencies Cosmos, Marti Franques 1, E-08028 Barcelona, Spain
关键词
Extended Supersymmetry; Wilson; 't Hooft and Polyakov loops;
D O I
10.1007/JHEP08(2022)253
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 derive exact formulas for circular Wilson loops in the N = 4 and N = 2* theories with gauge groups U(N) and SU(N) in the k-fold symmetrized product representation. The formulas apply in the limit of large k and small Yang-Mills coupling g, with fixed effective coupling kappa g(2)k, and for any finite N. In the SU(2) and U(2) cases, closed analytic formulas are obtained for any k, while the 1/k series expansions are asymptotic. In the N >> 1 limit, with N << k, there is an overlapping regime where the formulas can be confronted with results from holography. Simple formulas for correlation functions between the k-symmetric Wilson loops and chiral primary operators are also given.
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页数:22
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