Holographic real-time non-relativistic correlators at zero and finite temperature

Understand

We compute a variety of two and three-point real-time correlation functions for a strongly-coupled non-relativistic field theory.

• We focus on the theory conjectured to be dual to the Schr\"{o}dinger-invariant gravitational spacetime introduced by Balasubramanian, McGreevy, and Son, but our methods apply to a large class of non-relativistic theories.
• At zero temperature, we obtain time-ordered, retarded, and Wightman non-relativistic correlators for scalar operators of arbitrary conformal dimension directly in field theory by applying a certain lightlike Fourier transform to relativistic conformal correlators, and we verify that non-relativistic AdS/CFT reproduces the results.
• We compute thermal two and three-point real-time correlators for scalar operators dual to scalar fields in the black hole background which is the finite temperature generalization of the Schr\"{o}dinger spacetime.