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.
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Acknowledgments
We’d like to thank Parijat Dey for helpful comments on a draft version of this paper. N.L. is supported in part by an STFC consolidated grant ST/X000753/1. A.L. is supported by an STFC Consolidated Grant ST/T000708/1. R.M. is supported by David Tong’s Simons Investigator award.
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Lambert, N., Lipstein, A. & Mouland, R. Six-dimensional correlators from a five-dimensional operator product expansion. J. High Energ. Phys. 2024, 55 (2024). https://doi.org/10.1007/JHEP06(2024)055
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DOI: https://doi.org/10.1007/JHEP06(2024)055