The Graviton in the AdS-CFT correspondence: Solution via the Dirichlet Boundary value problem

TL;DR

This paper calculates the two-point function of CFT energy-momentum tensors using AdS-CFT by explicitly solving the Dirichlet boundary value problem for gravitons, providing a complementary approach to existing methods.

Contribution

It introduces a direct solution to the Dirichlet boundary value problem for AdS gravitons, enhancing the computational toolkit for AdS-CFT correspondence.

Findings

Calculated two-point functions of energy-momentum tensors in CFT

Solved the Dirichlet boundary value problem explicitly for gravitons

Provides a complementary method to existing approaches

Abstract

Using the AdS-CFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitly solving the Dirichlet boundary value problem for $x_0=\epsilon$. We consider this treatment as complementary to existing work, with which we make contact.