Towards NMHV amplitudes at strong coupling

Abstract

Pentagon Operator Product Expansion provides a non-perturbative framework for analysis of scattering amplitudes in planar maximally supersymmetric gauge theory building up on their duality to null polygonal super Wilson loop and integrability. In this paper, we construct a systematic expansion for the main ingredients of the formalism, i.e., pentagons, at large 't Hooft coupling as a power series in its inverse value. The calculations are tested against relations provided by the so-called Descent Equation which mixes transitions at different perturbative orders. We use leading order results to have a first glimpse into the structure of scattering amplitude at NMHV level at strong coupling.

40 pages

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Cited by in corpus (11)

• Clustering and the Three-Point Function
• Nonperturbative enhancement of superloop at strong coupling
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• On the scattering of gluons in the GKP string
• The four-loop six-gluon NMHV ratio function
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Resummed tree heptagon
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Supersymmetric quantum mechanics of the flux tube
• $\mathcal{N}=4$ polygonal Wilson loops: fermions
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM