Correlation functions of the ABJM model

TL;DR

This paper analyzes three-point functions in the ABJM model using AdS/CFT, revealing universal structures and size effects of dual strings, advancing understanding of correlation functions in this holographic framework.

Contribution

It provides a detailed factorization of three-point functions involving heavy and (ir)relevant operators in the ABJM model, highlighting universal forms and size effects of dual strings.

Findings

Structure constants factorize into universal and physical parts.

The universal form depends only on the conformal dimension.

Size effects of circular strings are characterized.

Abstract

In the ABJM model, we study the three-point function of two heavy operators and an (ir)relevant one. Following the AdS/CFT correspondence, the structure constant in the large 't Hooft coupling limit can be factorized into two parts. One is the structure constant with a marginal operator, which is fully determined by the physical quantities of heavy operator and gives rise to the consistent result with the RG analysis. The other can be expressed as the universal form depending only on the conformal dimension of an (ir)relevant operator. We also investigate the new size effect of a circular string dual to a certain closed spin chain.