Boundary multi-trace deformations and OPEs in AdS/CFT correspondence

TL;DR

This paper explores how multi-trace deformations in boundary CFTs within AdS/CFT can be derived from single-trace operator OPEs, providing a method applicable to theories like N=4 SYM.

Contribution

It demonstrates a way to generate multi-trace deformations from single-trace OPEs and applies this to a scalar field example in AdS_5, with potential applications to N=4 SYM.

Findings

Multi-trace deformations can be derived from single-trace OPEs.

A reparametrization method links boundary data to marginal operators.

Applicable to N=4 SYM for analyzing operator deformations.

Abstract

We argue that multi-trace deformations of the boundary CFT in AdS/CFT correspondence can arise through the OPE of single-trace operators. We work out the example of a scalar field in AdS_5 with cubic self interaction. By an appropriate reparametrization of the boundary data we are able to deform the boundary CFT by a marginal operator that couples to the conformal anomaly. Our method can be used in the analysis of multi-trace deformations in N=4 SYM where the OPEs of various single-trace operators are known.