Helicity basis for three-dimensional conformal field theory
High Energy Physics - Theory
2021-06-30 v2
Abstract
Three-point correlators of spinning operators admit multiple tensor structures compatible with conformal symmetry. For conserved currents in three dimensions, we point out that helicity commutes with conformal transformations and we use this to construct three-point structures which diagonalize helicity. In this helicity basis, OPE data is found to be diagonal for mean-field correlators of conserved currents and stress tensor. Furthermore, we use Lorentzian inversion formula to obtain anomalous dimensions for conserved currents at bulk tree-level order in holographic theories, which we compare with corresponding flat-space gluon scattering amplitudes.
Cite
@article{arxiv.2102.08160,
title = {Helicity basis for three-dimensional conformal field theory},
author = {Simon Caron-Huot and Yue-Zhou Li},
journal= {arXiv preprint arXiv:2102.08160},
year = {2021}
}
Comments
37+23 pages, 5 figures. Typos fixed, published version