Modular properties of higher spin black holes

Abstract

This project concerns the understanding of the thermodynamic properties of higher spin black holes in AdS3. Through the conjectured Minimal Model/Higher Spin duality, the partition functions of such black holes should be equal to partition functions in the presence of chemical potentials in an appropriate dual 2d CFT. In the well-understood spin-2 case, the modular properties of partition functions play a major role in understanding their behaviour at high and low temperatures, and the goal of this dissertation is to obtain an analogous understanding of modular properties in the higher-spin case.