Entanglement Entropy Near Cosmological Singularities

Understand

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality.

• As expected, the coefficients of the UV divergent terms are given by simple geometric properties of the entangling surface in the time-dependent background.
• The finite (universal) part of the entanglement entropy either grows without bound or remains bounded depending on the nature of the singularity and entangling region.
• We also discuss a confinement/deconfinement phase transition as signaled by the entanglement entropy.