Charged Renyi entropies and holographic superconductors

Understand

Charged Renyi entropies were recently introduced as a measure of entanglement between different charge sectors of a theory.

• We investigate the phase structure of charged Renyi entropies for CFTs with a light, charged scalar operator.
• The charged Renyi entropies are calculated holographically via areas of charged hyperbolic black holes.
• These black holes can become unstable to the formation of scalar hair at sufficiently low temperature; this is the holographic superconducting instability in hyperbolic space.