1/CFT d computed using the Hilbert or the Yang-Mills action in the bulk. We introduce new recursion relations to compute these correlators at tree-level. These relations have an advantage over the Britto-Cachazo-Feng-Witten (BCFW)-like relations described in arXiv: 1102.4724 and arXiv: 1011.0780 because they can be used in all dimensions including d= 3. We also introduce a new method of extracting flat-space S-matrix elements from AdS/CFT …
We consider correlation functions of the stress-tensor or a conserved current in computed using the Hilbert or the Yang-Mills action in the bulk. We introduce new recursion relations to compute these correlators at tree-level. These relations have an advantage over the Britto-Cachazo-Feng-Witten (BCFW)-like relations described in arXiv:1102.4724 and arXiv:1011.0780 because they can be used in all dimensions including . We also introduce a new method of extracting flat-space -matrix elements from AdS/CFT correlators in momentum space. We show that the ()-dimensional flat-space amplitude of gravitons or gluons can be obtained as the coefficient of a particular singularity of the -dimensional correlator of the stress-tensor or a conserved current; this technique is valid even at loop-level in the bulk. Finally, we show that our recursion relations automatically generate correlators that are consistent with this observation: they have the expected singularity and the flat-space gluon, or graviton amplitude appears as its coefficient.