We review the status of recent investigations on validating the gauge-gravity
duality conjecture through numerical simulations of strongly coupled maximally
supersymmetric thermal gauge theories. In the simplest setting, the
gauge-gravity duality connects systems of D0-branes and black hole geometries
at finite temperature to maximally supersymmetric gauged quantum mechanics at
the same temperature. Recent simulations show that non-perturbative gauge
theory results give excellent agreement with the quantum gravity predictions,
thus proving strong evidence for the validity of the duality conjecture and
more insight into quantum black holes and gravity.Comment: v2: Minor comments and references added. Invited review for the
International Journal of Modern Physics
