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

Published version
Peer-reviewed

Repository DOI


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Authors

Lambert, N 
Lipstein, A 

Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pIn 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.</jats:p>

Description

Acknowledgements: 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.

Keywords

5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1126-6708
1029-8479

Volume Title

2024

Publisher

Springer Science and Business Media LLC