On the Exchange Interactions in Holographic p-adic CFT

Understand

There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability in the holographic setting.

• We compute the contributions from the exchange interactions to the four-point correlator of the CFT using Witten diagrams with three-scalar interaction vertex.
• Together with the contributions from the bulk four-point interaction, the contact term, these provide a complete answer.
• We remark on the singularity structure in Mellin space, and argue that all these models are analogues of adS_2/CFT_1.