Black hole entropy: lessons from loop quantum gravity

Fernando Barbero

The purpose of the talk is to discuss black hole entropy in the loop quantum gravity framework. Special attention will be paid to the description of the microscopic degrees of freedom responsible for the entropy, the statement of the combinatorial problems that must be solved in order to count them, and the behavior of the entropy as a function of the horizon area. In particular we will review the derivation of the Bekenstein-Hawking law and its logarithmic corrections. In the second part of the talk we will give a critical comparison between the results derived within LQG and the ones obtained by other approaches to quantum gravity.