Mixed three-point functions of conserved currents in three-dimensional superconformal field theory

Evgeny I. Buchbinder, Benjamin J. Stone

Research output: Contribution to journalArticle

Abstract

We consider mixed three-point correlation functions of the supercurrent and flavor current in three-dimensional 1≤N≤4 superconformal field theories. Our method is based on the decomposition of the relevant tensors into irreducible components to guarantee that all possible tensor structures are systematically taken into account. We show that only parity-even structures appear in the correlation functions. In addition to the previous results obtained in [E. I. Buchbinder J. High Energy Phys. 06 (2015) 138JHEPFG1029-847910.1007/JHEP06(2015)138], it follows that supersymmetry forbids parity-odd structures in three-point functions involving the supercurrent and flavor current multiplets.

Original languageEnglish
Article number086023
JournalPhysical Review D
Volume103
Issue number8
DOIs
Publication statusPublished - 28 Apr 2021

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