Abstract
We introduce a family of partially entangled thermal states in the SYK model that interpolates between the thermo-field double state and a pure (product) state. The states are prepared by a euclidean path integral describing the evolution over two euclidean time segments separated by a local scaling operator \( \mathcal{O} \). We argue that the holographic dual of this class of states consists of two black holes with their interior regions connected via a domain wall, described by the worldline of a massive particle. We compute the size of the interior region and the entanglement entropy as a function of the scale dimension of \( \mathcal{O} \) and the temperature of each black hole. We argue that the one-sided bulk reconstruction can access the interior region of the black hole.
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Goel, A., Lam, H.T., Turiaci, G.J. et al. Expanding the black hole interior: partially entangled thermal states in SYK. J. High Energ. Phys. 2019, 156 (2019). https://doi.org/10.1007/JHEP02(2019)156
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DOI: https://doi.org/10.1007/JHEP02(2019)156