The role of thermalization in gauge/gravity duality. An approach from the SYK model

24.07.2019 14:30 – 15:30

Thermalization plays a crucial role in the study of black hole physics in the frame of gauge/gravity duality, where the mechanism of approach to equilibrium granted by the Eigenstate Thermalization Hypothesis (ETH) acquires paradigmatic relevance. Two scenarios in which thermalization is of key importance are approached from the perspective of the Sachdev-Ye-Kitaev (SYK) model. The first one is the study of thermalization properties of correlation functions of the mirror operators used to reconstruct the interior geometry of a one-sided black hole microstate. The second analysis leads to the main result of the thesis: The numerical observation of a chaotic-to-integrable phase transition in an out-of-time-ordered (OTOC) correlation function evaluated on eigenstates that appears when the SYK Hamiltonian is perturbed by a two-site interaction term; some comments on the bulk interpretation of this phenomenon are made and future lines of work are also outlined.

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Bâtiment: Ecole de Physique

Auditoire Stueckelberg

entrée libre