期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2022)067
关键词
Wilson; 't Hooft and Polyakov loops; Supersymmetric Gauge Theory; AdS-CFT Correspondence
资金
- DFG through the Emmy Noether research group The Conformal Bootstrap Program [400570283]
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [417533893/GRK2575]
In this study, we investigate multipoint correlators of protected scalars on the Maldacena-Wilson line in N = 4 SYM. By working at weak coupling and using the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators with arbitrary number of insertions of the fundamental scalar field. Furthermore, we observe that all the correlators can be annihilated by a special class of differential operators.
We study multipoint correlators of protected scalars on the Maldacena-Wilson line in N = 4 SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators with an arbitrary number of insertions of the fundamental scalar field. By pinching fundamental scalars together, we can build composite protected operators with higher values of the R-charge. Our result then encompasses arbitrary n-point correlators of protected operators with arbitrary weight. As a demonstration of our method, we give explicit formulae for correlators with up to six points. Using these results we observe that all our correlators are annihilated by a special class of differential operators. We conjecture that these differential operators are non-perturbative constraints and can be considered a multipoint extension of the superconformal Ward identities satisfied by four-point functions.
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