Six-Dimensional Correlators From a Five-Dimensional Operator Product Expansion
arxiv(2024)
摘要
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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