In this talk we will discuss aspects of the non-relativistic two-body problems in AdS spacetime and their CFT duals. Specifically, we will define CFT correlation functions that describe the NR dynamics in the bulk. We will then use them to understand the spectrum of double-twist operators as well as flat space scattering.
In more detail, we will see how the S-channel OPE expansion of this correlator becomes the sum over states of the non-relativistic Hamiltonian. We will then use this to understand the spectrum from quantum perturbation theory in the bulk. We will conclude this analysis by comparing our result with the output from Lorentzian inversion formula. Lastly, we show how inserting an additional real time evolution in our correlator in the flat space limit yields the usual scattering amplitude