Entanglement Entropy at Large-N

I show that at early times the evaporation process for a stack of NS5-branes at high energy is suppressed in the large-N limit. At much later times, the new saddles in the gravitational action are no longer suppressed at large-N, and evaporation proceeds as usual. This effect is due to the non-invariance of the metric under coordinate parameterisation. This fact introduces a parametric dependence in the thermodynamic quantities, which can lead to quantities that are suppressed in a particular corner of the parameter space.