Multiple-Trace Operators and Non-Local String Theories

TL;DR

This paper introduces a new non-local deformation of string perturbation theory to better understand gravity duals of field theories with multiple-trace operator deformations, highlighting a novel perturbative expansion with a unique parameter.

Contribution

It proposes a novel non-local string theory deformation involving a new parameter, extending traditional string perturbation methods for deformed field theories.

Findings

The deformation is applicable to exactly marginal cases.

The new perturbative expansion involves a parameter distinct from standard string coupling.

Initial properties of the non-local deformation are explored.

Abstract

We propose that a novel deformation of string perturbation theory, involving non-local interactions between strings, is required to describe the gravity duals of field theories deformed by multiple-trace operators. The new perturbative expansion involves a new parameter, which is neither the string coupling nor the coefficient of a vertex operator on the worldsheet. We explore some of the properties of this deformation, focusing on a special case where the deformation in the field theory is exactly marginal.