Higher spin 3-point functions in 3d CFT using spinor-helicity variables
High Energy Physics - Theory
2021-09-23 v3
Abstract
In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin- conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting spinor-helicity answers to momentum space, we show that correlators involving spin- currents can be expressed in terms of some simple conformally invariant conserved structures. This in particular allows us to understand and separate out contact terms systematically, especially for the parity-odd case. We also reproduce some of the correlators using weight-shifting operators.
Cite
@article{arxiv.2106.00016,
title = {Higher spin 3-point functions in 3d CFT using spinor-helicity variables},
author = {Sachin Jain and Renjan Rajan John and Abhishek Mehta and Amin A. Nizami and Adithya Suresh},
journal= {arXiv preprint arXiv:2106.00016},
year = {2021}
}
Comments
v1: 59 pages, v2: A few typos corrected, v3 : Appendix G added