## Abstract

In this paper, we study the general form of three-point functions of conserved current multiplets S_{α(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}_{)}(z_{1}) S_{β}_{(}_{k}_{+}_{l}_{)}(z_{2}) S¯ _{γ̇}_{(}_{l}_{)}(z_{3}) 〉 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}_{)}(z_{1}) S_{α}_{(}_{k}_{)}(z_{2}) L(z_{3}) 〉 and 〈 S¯ _{α̇}_{(}_{k}_{)}(z_{1}) S_{α}_{(}_{k}_{)}(z_{2}) J_{γ}_{γ̇}(z_{3}) 〉 , where L is the flavour current multiplet and J_{γ}_{γ̇} is the supercurrent.

Original language | English |
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Article number | 58 |

Journal | Journal of High Energy Physics |

Volume | 2021 |

Issue number | 10 |

DOIs | |

Publication status | Published - Oct 2021 |