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

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 $⟨j_s{j}_{\tilde{0}}{j}_{\tilde{0}}{j}_{\tilde{0}}⟩$, where $j_s$ 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.

arXiv commentPrepared for submission at JHEP

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• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
• Anyonic correlation functions in Chern-Simons matter theories
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• On correlation functions as higher-spin invariants
• Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory