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

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arxiv 2103.00275 v3 pith:LKQ2274X submitted 2021-02-27 hep-th

classification hep-th
keywords tildefourfunctionshigherpointspinbrokencompute
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $\langle j_s j_{\tilde{0}} j_{\tilde{0}} j_{\tilde{0}} \rangle$, 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gauge transformations in Z-space in (anti)holomorphic sector of HS theory

    hep-th 2026-08 conditional novelty 6.0 of 10

    Allowing the master field Lambda to shift by exact auxiliary-space forms yields an explicit second-order field redefinition, whose z-dependent part cannot be gauged away.

  2. Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory

    hep-th 2025-08 unverdicted novelty 2.0 of 10

    Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.

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