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.

42 pages; v.2 typos corrected

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• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings
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• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
• Decomposition and the Gross-Taylor string theory
• Fragmenting D4 branes and coupled q-deformed Yang Mills
• Entanglement entropy and edge modes in topological string theory: I
• Universe Decay, Inflation and the Large Eigenvalue of the Cosmological Constant Seesaw