期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2022)253
关键词
Extended Supersymmetry; Wilson; 't Hooft and Polyakov loops
资金
- Spanish government [MINECO-16-FPA2015-63667-P]
- Principado de Asturias [FC-GRUPIN-IDI/2018/000174]
- MINECO [PID2019-105614GB-C21]
- State Agency for Research of the Spanish Ministry of Science and Innovation [CEX2019-000918-M]
Exact formulas for circular Wilson loops in the N=4 and N=2* theories with gauge groups U(N) and SU(N) are derived, applicable in the limit of large k, small Yang-Mills coupling g, and any finite N. Closed analytic formulas are obtained for SU(2) and U(2) cases, while 1/k series expansions are asymptotic. Simple formulas for correlation functions between the k-symmetric Wilson loops and chiral primary operators are also provided.
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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