Hexagons and Correlators in the Fishnet Theory
High Energy Physics - Theory
2020-01-29 v1
Abstract
We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N=4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain the hexagon form factors for a large class of states, including the BMN vacuum, some excited states, and the Lagrangian density. We apply these form factors to the computation of several correlators and match the results with direct Feynman diagrammatic calculations. We also study the renormalisation of the hexagon form factor expansion for a family of diagonal structure constants and test the procedure at higher orders through comparison with a known universal formula for the Lagrangian insertion.
Cite
@article{arxiv.1812.09794,
title = {Hexagons and Correlators in the Fishnet Theory},
author = {Benjamin Basso and Joao Caetano and Thiago Fleury},
journal= {arXiv preprint arXiv:1812.09794},
year = {2020}
}
Comments
63 pages