Abstract

Many non-relativistic quantum field theories with conserved particle number share a common set of symmetries: time dependent spatial diffeomorphisms acting on the background metric and U(1) invariance acting on the background field which couples to particle number. These symmetries are used to deduce a holographic gravity dual for any such theory in terms of Hořava gravity, a non-relativistic theory of gravity. The behavior of black holes in Hořava gravity are studied due to their importance in holography. The existence of causal horizons in this non-relativistic theory is shown, as well as examples of their thermodynamic properties.

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