Holographic KMS relations at finite density

Understand

We extend the holographic Schwinger-Keldysh prescription introduced in arXiv:1812.08785 to charged black branes, with a view towards studying Hawking radiation in these backgrounds.

• Equivalently we study real-time fluctuations of the dual CFT held at finite temperature and finite chemical potential.
• We check our prescription using charged Dirac probe fields.
• We solve the Dirac equation in a boundary derivative expansion extending the results in arXiv:2011.07039.