1307.6238 (Cristiano Germani)

On the many saddle points description of quantum black holes    [PDF]

Cristiano Germani

Considering two dimensional gravity coupled to a CFT, we show that a semiclassical black hole can be described in terms of two Liouville theories matched at "infinity". The black hole exterior corresponds to a space-like while the interior to a time-like Liouville theory. This matching automatically implies that a black hole is a state with maximal entropy. The path integral description of the time-like Liouville theory (the Black Hole interior) is studied and it is found that the correlation functions of the coupled CFT-gravity system are dominated by two (complex) saddle points, even in the semiclassical limit. We argue that this system can be interpreted as two interacting Bose-Einstein condensates constructed out of two degenerate quantum states. In AdS/CFT context, the same system is mapped into two interacting strings intersecting inside a three-dimensional BTZ black hole. Finally, we discuss why, beyond the semiclassical approximation, we expect no firewalls appearing in our system.

View original: http://arxiv.org/abs/1307.6238