T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …

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A bstract Starting from the recently-discovered\(\mathrm {T}\overline {\mathrm {T}}\)-
perturbed Lagrangians, we prove that the deformed solutions to the classical EoMs for …

We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes
in\(\mathcal {N}= 4\) SYM in the planar limit, manifesting the full Yangian symmetry of the …

A bstract Recently, an explicit, recursive formula for the all-loop integrand of planar
scattering amplitudes in\(\mathcal {N}={4}\) SYM has been described, generalizing the …

We propose a nonperturbative formulation of planar scattering amplitudes in N= 4
supersymmetric Yang-Mills theory, or, equivalently, polygonal Wilson loops. The …

A bstract In this paper we study motivic amplitudes—objects which contain all of the
essential mathematical content of scattering amplitudes in planar SYM theory in a …

A bstract We describe the minimal space of polylogarithmic functions that is required to
express the six-particle amplitude in planar\(\mathcal {N}\)= 4 super-Yang-Mills theory …

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 …

We show that the complete planar S-matrix of\(\mathcal {N}= 4\) super Yang-Mills—including
all N k MHV partial amplitudes to all loops—is equivalent to the correlation function of a …