Gravity duals to non-relativistic quantum field theories

Abstract

We use holography to argue that the zoo of consistent quantum theories of gravity contains many non-relativistic alternatives to standard Einstein gravity. The basic argument will be based on symmetry. Non-relativistic diffeomorphisms are symmetries of a large class of non-relativistic quantum field theories, including the quantum Hall states and the unitary Fermi gas. Based on these symmetries, we argue that generic many-body quantum mechanical systems have a dual holographic description in terms of a modified theory of gravity known as Horava gravity.