Corpus ID: 236469303

# A Young diagram expansion of the hexagonal Wilson loop (amplitude) in ${\cal N}=4$ SYM

@inproceedings{Fioravanti2021AYD,
title={A Young diagram expansion of the hexagonal Wilson loop (amplitude) in \$\{\cal N\}=4\$ SYM},
author={Davide Fioravanti and Hasmik Poghosyan and Rubik Poghossian},
year={2021}
}
• Published 2021
• Physics
We shall interpret the null hexagonal Wilson loop (or, equivalently, six gluon scattering amplitude) in 4D N = 4 Super Yang-Mills, or, precisely, an integral representation of its matrix part, via an ADHM-like instanton construction. In this way, we can apply localisation techniques to obtain combinatorial expressions in terms of Young diagrams. Then, we use our general formula to obtain explicit expressions in several explicit cases. In particular, we discuss those already available in the… Expand

#### References

SHOWING 1-10 OF 71 REFERENCES
The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Physics, Mathematics
• 2018
Abstract We disentangle the contribution of scalars to the OPE series of null hexagonal Wilson loops/MHV gluon scattering amplitudes in multicolour N = 4 SYM. In specific, we develop a systematicExpand
Hexagonal Wilson Loops in Planar N = 4 SYM Theory at Finite Coupling
• 2018
In [1], building on [2], the so-called POPE (Pentagon Operator Product Expansion) program was put forward. Its goal is to put to full use the integrability of the chromodynamic flux tube of planar NExpand
Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
• Physics, Mathematics
• Nuclear Physics B
• 2019
Abstract We study the null polygonal Wilson loops/gluon scattering amplitudes in planar N = 4 SYM by means of the pentagon Operator Product Expansion (OPE) series and its integrability features, withExpand
An operator product expansion for polygonal null Wilson loops
• Physics
• 2010
We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limitExpand
The Bethe-ansatz for N = 4 super Yang-Mills
• Physics
• 2002
We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vectorExpand
Conformal properties of four-gluon planar amplitudes and Wilson loops
• Physics
• 2008
We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N=4 SYM. We show that all the momentum integrals appearing in the perturbative on-shellExpand
Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states
• Mathematics, Medicine
• Physical review letters
• 2009
An infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT are derived and it is proved that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics. Expand
Strong Wilson polygons from the lodge of free and bound mesons
• Physics, Mathematics
• 2015
A bstractPreviously predicted by the S-matrix bootstrap of the excitations over the GKP quantum vacuum, the appearance of a new particle at strong coupling — formed by one fermion and oneExpand
Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings
• Physics
• 2005
We generalize various existing higher-loop Bethe ansatze for simple sec- tors of the integrable long-range dynamic spin chain describing planar N = 4 Super Yang-Mills Theory to the full psu(2,2|4)Expand
OPE for null Wilson loops and open spin chains
Abstract Maximal helicity-violating scattering amplitudes in N = 4 supersymmetric Yang–Mills theory are dual to Wilson loops on closed null polygons. We perform their operator product expansionExpand