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

Silva, Joao A.  
May 12, 2021
Journal of High Energy Physics

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.

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