Entanglement Entropy at Large-N

TL;DR

This paper investigates how entanglement entropy and evaporation processes in NS5-branes are affected at large-N, revealing a suppression at early times and standard behavior at later times due to coordinate invariance issues.

Contribution

It demonstrates the impact of coordinate invariance on entanglement entropy calculations and evaporation processes in large-N NS5-brane systems.

Findings

Early-time evaporation is suppressed at large-N.

Late-time evaporation proceeds normally as new gravitational saddles become relevant.

Thermodynamic quantities depend parametrically on coordinate choices.

Abstract

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.