Extended eigenstate thermalization and the role of FZZT branes in the Schwarzian theory
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Publication:2191742
DOI10.1007/JHEP03(2020)168zbMATH Open1435.81164arXiv1907.10061WikidataQ112154090 ScholiaQ112154090MaRDI QIDQ2191742
Author name not available (Why is that?)
Publication date: 25 June 2020
Published in: (Search for Journal in Brave)
Abstract: In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in coherent pure states, these same operators can exhibit ergodic or non-ergodic behavior, which is characterized by elliptic, parabolic or hyperbolic monodromy of an auxiliary equation; or equivalently, which coadjoint Virasoro orbit the state lies on. These results allow us to establish an extended version of the eigenstate thermalization hypothesis (ETH) in theories with a Schwarzian sector. We also elucidate the role of FZZT-type boundary conditions in the Schwarzian theory, shedding light on the physics of microstates associated with ZZ branes and FZZT branes in low dimensional holography.
Full work available at URL: https://arxiv.org/abs/1907.10061
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