Looking for a bulk point

J Maldacena, D Simmons-Duffin… - Journal of High Energy …, 2017 - Springer
A bstract We consider Lorentzian correlators of local operators. In perturbation theory,
singularities occur when we can draw a position-space Landau diagram with null lines. In …

Hexagonalization of correlation functions

T Fleury, S Komatsu - Journal of High Energy Physics, 2017 - Springer
A bstract We propose a nonperturbative framework to study general correlation functions of
single-trace operators in\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory at large N. The …

Structure constants in = 4 SYM at finite coupling as worldsheet g-function

Y Jiang, S Komatsu, E Vescovi - Journal of High Energy Physics, 2020 - Springer
A bstract We develop a novel nonperturbative approach to a class of three-point functions in
planar\(\mathcal {N}\)= 4 SYM based on Thermodynamic Bethe Ansatz (TBA). More …

Colour-dressed hexagon tessellations for correlation functions and non-planar corrections

B Eden, Y Jiang, D Le Plat, A Sfondrini - Journal of High Energy Physics, 2018 - Springer
A bstract We continue the study of four-point correlation functions by the hexagon
tessellation approach initiated in [38] and [39]. We consider planar tree-level correlation …

Structure constants at wrapping order

B Basso, V Goncalves, S Komatsu - Journal of High Energy Physics, 2017 - Springer
A bstract We consider structure constants of single trace operators in planar\(\mathcal {N}=
4\) Super-Yang-Mills theory within the hexagon framework. The standard procedure for …

Three-point functions in SYM: the hexagon proposal at three loops

B Eden, A Sfondrini - Journal of High Energy Physics, 2016 - Springer
A bstract Basso, Komatsu and Vieira recently proposed an all-loop framework for the
computation of three-point functions of single-trace operators of\(\mathcal {N}= 4\) super …

Hexagons and correlators in the fishnet theory

B Basso, J Caetano, T Fleury - Journal of High Energy Physics, 2019 - Springer
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 …

The hexagon in the mirror: the three-point function in the SoV representation

Y Jiang, S Komatsu, I Kostov… - Journal of Physics A …, 2016 - iopscience.iop.org
We derive an integral expression for the leading-order type I–I–I three-point functions in the
${\mathfrak {su}}(2) $-sector of ${\mathcal N}= 4$ super Yang–Mills theory, for which no …

Classical integrability for three-point functions: cognate structure at weak and strong couplings

Y Kazama, S Komatsu, T Nishimura - Journal of High Energy Physics, 2016 - Springer
A bstract In this paper, we develop a new method of computing three-point functions in the
SU (2) sector of the\(\mathcal {N}= 4\) super Yang-Mills theory in the semi-classical regime at …

Lectures on three-point functions in N= 4 supersymmetric Yang-Mills theory

S Komatsu - arXiv preprint arXiv:1710.03853, 2017 - arxiv.org
This is a pedagogical review on the integrability-based approach to the three-point function
in N= 4 supersymmetric Yang-Mills theory. We first discuss the computation of the structure …