We introduce a non-perturbative framework for computing structure constants of single-trace
operators in the N= 4 SYM theory at large N. Our approach features new vertices, with …

A bstract We calculate planar tree level one-point functions of non-protected operators in the
defect conformal field theory dual to the D3-D5 brane system with k units of the world volume …

A bstract The planar integrability of\(\mathcal {N}\)= 4 super-Yang-Mills (SYM) is the
cornerstone for numerous exact observables. We show that the large charge sector of the …

A bstract We find a massive simplification in the non-perturbative expression for the structure
constant of Wilson lines with 3 cusps when expressed in terms of the key Quantum Spectral …

A bstract We conjecture a new way to construct eigenstates of integrable XXX quantum spin
chains with SU (N) symmetry. The states are built by repeatedly acting on the vacuum with a …

A bstract We construct a closed system of equations describing the quark-anti-quark
potential at any coupling in planar\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory. It is …

A bstract We investigate the hexagon formalism in the planar 4d conformal fishnet theory.
This theory arises from\(\mathcal {N}\)= 4 SYM by a deformation that preserves both …

A bstract In a previous work [1], we proposed an integrability setup for computing nonplanar
corrections to correlation functions in\(\mathcal {N}= 4\) super-Yang-Mills theory at any value …

The hexagon in the mirror: the three-point function in the SoV representation - IOPscience Skip
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A bstract We study three-point correlation functions of local operators in planar\(\mathcal
{N}= 4\) SYM at weak coupling using integrability. We consider correlation functions …