Resolving Lifshitz Horizons

Understand

Via the AdS/CFT correspondence, ground states of field theories at finite charge density are mapped to extremal black brane solutions.

• Studies of simple gravity + matter systems in this context have uncovered wide new classes of extremal geometries.
• The Lifshitz metrics characterising field theories with non-trivial dynamical critical exponent $z \neq 1$ emerge as one common endpoint in doped holographic toy models.
• However, the Lifshitz horizon exhibits mildly singular behaviour - while curvature invariants are finite, there are diverging tidal forces.