Stress-energy tensor correlators from the world-sheet

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