Six-dimensional correlators from a five-dimensional operator product expansion

Lambert, N.; Lipstein, A.; Mouland, R.

Abstract

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conformal field theories. Unlike Lorentzian conformal field theories, three-point functions of generic operators in such theories are not completely fixed by SU(1, 3) × U(1) symmetry. However, we show that in a special case the functional form of the OPE coefficients can be fully determined, and we use them to fix the form of the three-point function. The result is shown to agree with correlation functions obtained by reduction of six-dimensional conformal field theories.

Citation

Lambert, N., Lipstein, A., & Mouland, R. (2024). Six-dimensional correlators from a five-dimensional operator product expansion. Journal of High Energy Physics, 2024(6), Article 055. https://doi.org/10.1007/jhep06%282024%29055

• Journal Article Type: Article
• Acceptance Date: May 14, 2024
• Online Publication Date: Jun 11, 2024
• Publication Date: 2024-06
• Deposit Date: Jun 12, 2024
• Publicly Available Date: Jun 12, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 6
• Article Number: 055
• DOI: https://doi.org/10.1007/jhep06%282024%29055
• Keywords: Field Theories in Higher Dimensions, Conformal and W Symmetry, P-Branes, Scale and Conformal Symmetries
• Public URL: https://durham-repository.worktribe.com/output/2481845