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.
Keywords
Cite
@article{arxiv.hep-th/0612067,
title = {Quantum Entanglement of Baby Universes},
author = {Mina Aganagic and Takuya Okuda and Hirosi Ooguri},
journal= {arXiv preprint arXiv:hep-th/0612067},
year = {2008}
}
Comments
42 pages; v.2 typos corrected