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

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...

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Bibliographic Details
Published in:arXiv.org 2006-06
Main Authors: Gadelha, A L, Marchioro, Dafni Z, Nedel, Daniel L
Format: Article
Language:English
Subjects:
Coding
Entanglement
Entropy
Observers
String theory
Strings
Time dependence
Wave propagation
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0605237