Conformal Three-Point Correlation Functions from the Operator Product Expansion

Understand

We show how to construct embedding space three-point functions for operators in arbitrary Lorentz representations by employing the formalism developed in arXiv:1905.00036 and arXiv:1905.00434.

• We study tensor structures that intertwine the operators with the derivatives in the OPE and examine properties of OPE coefficients under permutations of operators.
• Several examples are worked out in detail.
• We point out that the group theoretic objects used in this work can be applied directly to construct three-point functions without any reference to the OPE.