Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-07
Nucl.Phys.B778:36-68,2007
Physics
High Energy Physics
High Energy Physics - Theory
42 pages; v.2 typos corrected
Scientific paper
10.1016/j.nuclphysb.2007.04.006
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.
Aganagic Mina
Okuda Takuya
Ooguri Hirosi
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