Stress-energy tensor correlators from the world-sheet

TL;DR

This paper computes specific stress-energy tensor correlators on the world-sheet in an AdS/CFT context, confirming their agreement with dual symmetric orbifold theory predictions, thus supporting the proposed duality.

Contribution

It provides explicit calculations of 2- and 3-point functions of stress-energy tensor vertex operators in the world-sheet model, confirming their match with symmetric orbifold expectations.

Findings

World-sheet correlators match dual CFT predictions

Explicit 2- and 3-point function calculations performed

Supports the AdS/CFT duality for symmetric orbifold theories

Abstract

The large $N$ limit of symmetric orbifold theories was recently argued to have an AdS/CFT dual world-sheet description in terms of an $\mathfrak{sl}(2,\mathbb{R})$ WZW model. In previous work the world-sheet state corresponding to the symmetric orbifold stress-energy tensor was identified. We calculate certain 2- and 3-point functions of the corresponding vertex operator on the world-sheet, and demonstrate that these amplitudes reproduce exactly what one expects from the dual symmetric orbifold perspective.