On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space

Understand

We discuss specific hypergeometric solutions of the conformal Ward identities (CWI's) of scalar 4-point functions of primary fields in momentum space, in $d$ spacetime dimensions.

• We determine such solutions using various dual conformal ans\"atze (DCA's).
• We start from a generic dual conformal correlator, and require it to be conformally covariant in coordinate space.
• The two requirements constrain such solutions to take a unique hypergeometric form.