Erkan Kaluç | Searcharxiv

arXiv2026

Null limit of large-charge correlators in planar $\mathcal{N}=4$ Super-Yang-Mills theory

We present a conjecture for the double-logarithmic behavior of the logarithm of large-charge correlators in the null limit in planar $\mathcal{N} = 4$ Super-Yang-Mills theory. Generalizing earlier results for four- and five-point functions, our proposal predicts this behavior for $n$-point functions to all loops in terms of the tilted cusp anomalous dimension. In the dual amplitude description, it reproduces the expected small-mass behavior of massive amplitudes in the equal-mass limit.

hep-th↗

arXiv2026

Classical correlation functions at strong coupling from hexagonalization

We study correlation functions of half-BPS operators in planar $\mathcal{N}=4$ Super-Yang-Mills at strong coupling, in the classical limit where operator dimensions scale with the coupling. We focus on the two-dimensional kinematics corresponding in the dual description to strings propagating in $AdS_{3}\times S^{3}$. Using the hexagon formalism, we show that correlation functions exponentiate in this regime and are governed by the free energy of an associated set of Thermodynamic Bethe Ansatz (TBA) equations. These equations are structurally equivalent to the Gaiotto--Moore--Neitzke equations encoding BPS spectra in $\mathcal{N}=2$ supersymmetric field theories. Exploiting this correspondence, we apply wall-crossing techniques to extend the TBA framework and formulate a $χ$-system applicable both to polygonal hexagon tilings and to closed geometries describing correlators of single-trace operators. In particular, for four-point functions, this construction generalizes the results of Caetano and Toledo for minimal surfaces in $AdS_{2}\times S^{1}$.

hep-th↗