AdS/CFT Correspondence Beyond its Supergravity Approximation

TL;DR

This paper explores the AdS/CFT correspondence beyond the supergravity approximation by incorporating string effects, demonstrating consistency with the strong form and analyzing corrections to operator dimensions.

Contribution

It introduces a method to include string corrections in AdS/CFT and shows their impact on operator conformal dimensions, extending the understanding beyond supergravity.

Findings

String corrections do not affect marginal operator dimensions.

The dual CFT remains consistent with the strong AdS/CFT correspondence.

String effects modify conformal dimensions of relevant and irrelevant operators.

Abstract

We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual to a boundary CFT). We will go beyond the supergravity approximation in the AdS by using the fact that strings have an extended structure. We will also calculate the CFT dual to such string corrections in the bulk, and demonstrate that they are consistent with the strong form of the AdS/CFT correspondence. So, even though the conformal dimensions of both the relevant and the irrelevant operators will receive string corrections, the conformal dimension of marginal operators will not receive any such corrections.