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Title: Quantum entanglement of baby universes

Abstract

We study quantum entanglements of baby universes which appear in non-perturbative corrections to the OSV formula for the entropy of extremal black holes in type IIA string theory compactified on the local Calabi-Yau manifold defined as a rank 2 vector bundle over an arbitrary genus G Riemann surface. This generalizes the result for G=1 in hep-th/0504221. Non-perturbative terms can be organized into a sum over contributions from baby universes, and the total wave-function is their coherent superposition in the third quantized Hilbert space. We find that half of the universes preserve one set of supercharges while the other half preserve a different set, making the total universe stable but non-BPS. The parent universe generates baby universes by brane/anti-brane pair creation, and baby universes are correlated by conservation of non-normalizable D-brane charges under the process. There are no other source of entanglement of baby universes, and all possible states are superposed with the equal weight.

Authors:
; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
Physics Division
OSTI Identifier:
934699
Report Number(s):
LBNL-385E
TRN: US0803833
DOE Contract Number:  
DE-AC02-05CH11231
Resource Type:
Journal Article
Resource Relation:
Journal Name: Nuclear Physics B; Journal Volume: 778; Journal Issue: 1-2; Related Information: Journal Publication Date: 18 April 2007
Country of Publication:
United States
Language:
English
Subject:
72; BLACK HOLES; ENTROPY; HILBERT SPACE; QUANTUM ENTANGLEMENT; RIEMANN SHEET; UNIVERSE; VECTORS

Citation Formats

Essman, Eric P., Aganagic, Mina, Okuda, Takuya, and Ooguri, Hirosi. Quantum entanglement of baby universes. United States: N. p., 2006. Web.
Essman, Eric P., Aganagic, Mina, Okuda, Takuya, & Ooguri, Hirosi. Quantum entanglement of baby universes. United States.
Essman, Eric P., Aganagic, Mina, Okuda, Takuya, and Ooguri, Hirosi. Thu . "Quantum entanglement of baby universes". United States. https://www.osti.gov/servlets/purl/934699.
@article{osti_934699,
title = {Quantum entanglement of baby universes},
author = {Essman, Eric P. and Aganagic, Mina and Okuda, Takuya and Ooguri, Hirosi},
abstractNote = {We study quantum entanglements of baby universes which appear in non-perturbative corrections to the OSV formula for the entropy of extremal black holes in type IIA string theory compactified on the local Calabi-Yau manifold defined as a rank 2 vector bundle over an arbitrary genus G Riemann surface. This generalizes the result for G=1 in hep-th/0504221. Non-perturbative terms can be organized into a sum over contributions from baby universes, and the total wave-function is their coherent superposition in the third quantized Hilbert space. We find that half of the universes preserve one set of supercharges while the other half preserve a different set, making the total universe stable but non-BPS. The parent universe generates baby universes by brane/anti-brane pair creation, and baby universes are correlated by conservation of non-normalizable D-brane charges under the process. There are no other source of entanglement of baby universes, and all possible states are superposed with the equal weight.},
doi = {},
journal = {Nuclear Physics B},
number = 1-2,
volume = 778,
place = {United States},
year = {Thu Dec 07 00:00:00 EST 2006},
month = {Thu Dec 07 00:00:00 EST 2006}
}