Gravity Duals to Non-relativistic Quantum Field Theories
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.
This work has been supported in part by the US Department of Energy under contract number DE-FG02-96ER40956. It is our pleasure to thank all the participants, and in particular the organizers, of the 2013 Karl-Schwarzschild Meeting for a very productive and stimulating conference and for the opportunity to present our work. Most of the work reported on in this talk has appeared previously in our two publications [3, 5].