Journal of High Energy Physics (Aug 2022)

Multipoint correlators on the supersymmetric Wilson line defect CFT

  • Julien Barrat,
  • Pedro Liendo,
  • Giulia Peveri,
  • Jan Plefka

DOI
https://doi.org/10.1007/JHEP08(2022)067
Journal volume & issue
Vol. 2022, no. 8
pp. 1 – 32

Abstract

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Abstract We study multipoint correlators of protected scalars on the Maldacena-Wilson line in N $$ \mathcal{N} $$ = 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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