Multipoint correlators on the supersymmetric Wilson line defect CFT
arXiv:2112.10780 · doi:10.1007/JHEP08(2022)067
Abstract
We study multipoint correlators of protected scalars on the Maldacena-Wilson line in 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 -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.
arXiv comment31 pages, ancillary Mathematica notebook; v4: correction of some integral identities in appendix B
References in corpus (40)
- Wilson loops in large N field theories
- Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
- Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
- Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
- An Exact Prediction of N=4 SUSYM Theory for String Theory
- BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
- Half-BPS Wilson loop and AdS/CFT
- Bootstrap equations for SYM with defects
- Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
- Bootstrapping the half-BPS line defect
- On Four-Point Functions of Half-BPS Operators in General Dimensions
- Correlators of local operators and 1/8 BPS Wilson loops on S^2 from 2d YM and matrix models
- Multipoint Conformal Blocks in the Comb Channel
- Wilson Loops in N=4 SYM and Fermion Droplets
- Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS
- Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
- Meander, Folding and Arch Statistics
- Integrability and Conformal Bootstrap: One Dimensional Defect CFT
- More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
- Bootstrapping the half-BPS line defect CFT in SYM at strong coupling
- Yangian Symmetry of smooth Wilson Loops in N=4 super Yang-Mills Theory
- Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
- Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT
- Non-renormalisation of extremal correlators in N=4 SYM theory
- The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
- OPE statistics from higher-point crossing
- Lightcone Bootstrap at higher points
- Gaudin Models and Multipoint Conformal Blocks: General Theory
- Bootstrapping holographic defect correlators in super Yang-Mills
- Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
- Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory
- Bootstrapping line defects in theories
- On correlation functions of BPS operators in superconformal theories
- Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
- Bootstrapping correlation functions in N=4 SYM
- On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
- Correlation function of circular Wilson loop with two local operators and conformal invariance
- Spin chain integrability in non-supersymmetric Wilson loops
- Mellin amplitudes for 1 CFT
- Large Charges on the Wilson Loop in SYM: Matrix Model and Classical String