Scattering amplitudes at strong coupling for 4K gluons

Abstract

In this paper we study the scattering amplitudes at strong coupling for the case where the number of gluons is a multiple of four. This is an important missing piece in arXiv:1002.2459. The tricky point for n=4K is that there is some accidental degeneracy in such case. We explain this point in detail and show that a non-trivial monodromy around infinity was developed by the world-sheet coordinate transformation appearing in the computation. It turns out that besides solving the Y system, we also need to calculate T functions to compute the full amplitudes. We show that the T functions can be derived by taking a limit of Y functions of a higher-point case. As a check, we obtain the known result of eight-point in AdS_3 case.

23 pages, 3 figures. v3: A major revision of the paper, various points much clarified, appendix added; no change of the main results

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• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
• A simple collinear limit of scattering amplitudes at strong coupling
• T-functions and multi-gluon scattering amplitudes
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A short review on TBA equation and scattering amplitude/Wilson loop duality