Eigenbranes in Jackiw-Teitelboim gravity

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Abstract

It was proven recently that JT gravity can be defined as an ensemble of L × L Hermitian matrices. We point out that the eigenvalues of the matrix correspond in JT gravity to FZZT-type boundaries on which spacetimes can end. We then investigate an ensemble of matrices with 1 ≪ N ≪ L eigenvalues held fixed. This corresponds to a version of JT gravity which includes N FZZT type boundaries in the path integral contour and which is found to emulate a discrete quantum chaotic system. In particular this version of JT gravity can capture the behavior of finite-volume holographic correlators at late times, including erratic oscillations.

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Blommaert, A., Mertens, T. G., & Verschelde, H. (2021). Eigenbranes in Jackiw-Teitelboim gravity. Journal of High Energy Physics, 2021(2). https://doi.org/10.1007/JHEP02(2021)168

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