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

oleh: Joao A. Silva

Format: Article
Diterbitkan: SpringerOpen 2021-05-01

Deskripsi

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 j s j 0 ˜ j 0 ˜ j 0 ˜ $$ \left\langle {j}_s{j}_{\tilde{0}}{j}_{\tilde{0}}{j}_{\tilde{0}}\right\rangle $$ , where j s is a higher spin current and j 0 ˜ $$ {j}_{\tilde{0}} $$ 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.