Maths HEP Lunchtime Seminars: Siegel Modular Forms and Black Hole Entropy
3 March 2017 13:00 in CM221
In the language of statistical physics, an extremal black hole is a zero temperature system with a huge amount of residual entropy. Understanding which features of a quantum system can account for a large degeneracy of ground states at zero temperature will not only unveil interesting properties of quantum gravity, but will also uncover novel quantum systems.
In this talk I will present statistical systems, or more precisely counting formulas, that have the potential to account for the entropy of an extremal black hole. The goal is to capture and translate the robustness in gravity into data of the quantum system. One the microscopic side, which is the main emphasis of this talk, I want to illustrate not only how one can design generating functions with the desired features, but also present a procedure to extract the entropy systematically.