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 \( \left\langle {j}_s{j}_{\tilde{0}}{j}_{\tilde{0}}{j}_{\tilde{0}}\right\rangle \), where js is a higher spin current and \( {j}_{\tilde{0}} \) 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.
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Silva, J.A. Four point functions in CFT’s with slightly broken higher spin symmetry. J. High Energ. Phys. 2021, 97 (2021). https://doi.org/10.1007/JHEP05(2021)097
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DOI: https://doi.org/10.1007/JHEP05(2021)097