Charged Quantum Fields in AdS$_2$

Understand

We consider quantum field theory near the horizon of an extreme Kerr black hole.

• In this limit, the dynamics is well approximated by a tower of electrically charged fields propagating in an $SL(2,\mathbb{R})$ invariant AdS$_2$ geometry endowed with a constant, symmetry preserving background electric field.
• At large charge the fields oscillate near the AdS$_2$ boundary and no longer admit a standard Dirichlet treatment.
• From the Kerr black hole perspective, this phenomenon is related to the presence of an ergosphere.