Entanglement and entropy operator for strings in pp-wave time dependent background

Details Entanglement and entropy operator for strings in pp-wave time dependent background Entanglement and entropy operator for strings in pp-wave time dependent background

2006-05-23

arxiv.org/abs/hep-th/0605237v2

Phys.Lett. B639 (2006) 383-388

Physics

High Energy Physics

High Energy Physics - Theory

revtex4, 15 pages, revised version to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2006.06.044

In this letter new aspects of string theory propagating in a pp-wave time dependent background with a null singularity are explored. It is shown the appearance of a 2d entanglement entropy dynamically generated by the background. For asymptotically flat observers, the vacuum close to the singularity is unitarily inequivalent to the vacuum at $\tau = -\infty$ and it is shown that the 2d entanglement entropy diverges close to this point. As a consequence, the positive time region is inaccessible for observers in $\tau =-\infty$. For a stationary measure, the vacuum at finite time is seen by those observers as a thermal state and the information loss is encoded as a heat bath of string states.

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