Three-point functions of higher-spin spinor current multiplets in N = 1 superconformal theory

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Abstract

In this paper, we study the general form of three-point functions of conserved current multiplets Sα(k) = S(α1…αk) of arbitrary rank in four-dimensional N = 1 superconformal theory. We find that the correlation function of three such operators 〈 S¯ α̇(k)(z1) Sβ(k+l)(z2) S¯ γ̇(l)(z3) 〉 is fixed by the superconformal symmetry up to a single complex coefficient though the precise form of the correlator depends on the values of k and l. In addition, we present the general structure of mixed correlators of the form 〈 S¯ α̇(k)(z1) Sα(k)(z2) L(z3) 〉 and 〈 S¯ α̇(k)(z1) Sα(k)(z2) Jγγ̇(z3) 〉 , where L is the flavour current multiplet and Jγγ̇ is the supercurrent.

Original languageEnglish
Article number58
JournalJournal of High Energy Physics
Volume2021
Issue number10
DOIs
Publication statusPublished - Oct 2021

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