Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM

Understand

We numerically construct static localized black holes in ten spacetime dimensions with one compact periodic dimension.

• In particular, we investigate the critical regime in which the poles of the localized black hole are about to merge.
• When approaching the critical region, the behavior of physical quantities is described by a single real valued exponent giving rise to a logarithmic scaling of the thermodynamic quantities, in agreement with the theoretical prediction derived from the double-cone metric.
• As a peculiarity, the localized black hole solution in ten dimensions can be related to the spatially deconfined phase of two dimensional N=(8,8) super Yang-Mills theory (SYM) on a spatial circle.