Three-point Green function of the stress-energy tensor in the AdS-CFT correspondence

We compute the three-point function of the stress-energy tensor in d-dimensional conformal field theory CFT from ${\mathrm{AdS}}_{d+1\mathrm{}}$ gravity. For $d=4\mathrm{}$ the coefficients of the three linearly independent conformally covariant forms entering the three-point function are exactly the same as given by the free-field computations in the $\mathcal{N}=4\mathrm{}$ SYM theory just as expected from the known renormalization theorems. For $d=3\mathrm{}$ and $d=6\mathrm{}$ our results give the value of the corresponding three-point function in the theories of strongly coupled $\mathcal{N}=8\mathrm{}$ superconformal scalar and (2,0) tensor multiplets, respectively.