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

A bstract 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 0 ˜ j 0 ˜ j 0 ˜ , where j s is a higher spin current and j 0 ˜ is th...

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Veröffentlicht in:The journal of high energy physics 2021-05, Vol.2021 (5), p.1-29, Article 97
1. Verfasser: Silva, Joao A.
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Sprache:eng
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Zusammenfassung:A bstract 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 0 ˜ j 0 ˜ j 0 ˜ , where j s is a higher spin current and j 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2021)097