English

Four point functions in CFT's with slightly broken higher spin symmetry

High Energy Physics - Theory 2021-05-26 v3

Abstract

We compute spinning four point functions in the quasi-fermionic three dimensional conformal field theory with slightly broken higher spin symmetry at finite t'Hooft coupling. More concretely, we obtain a formula for jsj0~j0~j0~\langle j_s j_{\tilde{0}} j_{\tilde{0}} j_{\tilde{0}} \rangle, where jsj_s is a higher spin current and j0~j_{\tilde{0}} is the scalar single trace operator. Our procedure consists in writing a plausible ansatz in Mellin space and using crossing, pseudo-conservation and Regge boundedness to fix all undetermined coefficients. Our method can potentially be generalised to compute all spinning four point functions in these theories.

Keywords

Cite

@article{arxiv.2103.00275,
  title  = {Four point functions in CFT's with slightly broken higher spin symmetry},
  author = {Joao A. Silva},
  journal= {arXiv preprint arXiv:2103.00275},
  year   = {2021}
}

Comments

Prepared for submission at JHEP