The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling

Abstract

We disentangle the contribution of scalars to the OPE series of null polygonal Wilson loops/MHV gluon scattering amplitudes in multicolour $\mathcal{N}=4$ SYM. In specific, we develop a systematic computation of the $SO(6)$ matrix part of the Wilson loop by means of Young tableaux (with several examples too). Then, we use a peculiar factorisation property (when a group of rapidities becomes large) to deduce an explicit polar form. Furthermore, we emphasise the advantages of expanding the logarithm of the Wilson loop in terms of 'connected functions' as we apply this procedure to find an explicit strong coupling expansion (definitively proving that the leading order can prevail on the classical $Ad{S}_5$ string contribution).

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Cited by in corpus (7)

• Conical Twist Fields and Null Polygonal Wilson Loops
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• Resummed tree heptagon
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Hexagon Bootstrap in the Double Scaling Limit
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM