Four point functions in CFT's with slightly broken higher spin symmetry
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 <mml:mfenced close="<right angle bracket>" open="<">jsj0</mml:mover>j0</mml:mover>j<mml:mover accent="true">0<mml:mo stretchy="true"></mml:mover></mml:mfenced>, where j(s) is a higher spin current and j<mml:mover accent="true">0<mml:mo stretchy="true"></mml:mover> 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.
Silva2021_Article_FourPointFunctionsInCFTSWithSl.pdf
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