Informal Pizza Seminar

Black hole singularities in Yang-Mills theories

Guido Festuccia

MIT

Black hole singularities can be studied in the framework of the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. First we establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. An UV/UV connection arises and governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.