Bra-ket wormholes in gravitationally prepared states
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Publication:2025925
DOI10.1007/JHEP02(2021)009zbMATH Open1460.83059arXiv2007.16091OpenAlexW3128638044MaRDI QIDQ2025925
Author name not available (Why is that?)
Publication date: 17 May 2021
Published in: (Search for Journal in Brave)
Abstract: We consider two dimensional CFT states that are produced by a gravitational path integral. As a first case, we consider a state produced by Euclidean evolution followed by flat space evolution. We use the fine grained entropy formula to explore the nature of the state. We find that the naive hyperbolic space geometry leads to a paradox. This is solved if we include a geometry that connects the bra with the ket, a bra-ket wormhole. The semiclassical Lorentzian interpretation leads to CFT state entangled with an expanding and collapsing Friedmann cosmology. As a second case, we consider a state produced by Lorentzian evolution, again followed by flat space evolution. The most naive geometry also leads to a similar paradox. We explore several possible bra-ket wormholes. The most obvious one leads to a badly divergent temperature. The most promising one also leads to a divergent temperature but by making a projection onto low energy states we find that it has features that look similar to the previous Euclidean case. In particular, the maximum entropy of an interval in the future is set by the de Sitter entropy.
Full work available at URL: https://arxiv.org/abs/2007.16091
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