In this thesis we analized in the dail the structural properties of Sachdev-Ye-Kitaev model, in comparison to the supposed holographic partner: the nearly AdS_2 Jackiw-Teitelboim dilaton gravity black hole. The mathematical fact relating the theories is the emergence of a Schwarzian derivative-shaped action in the conformal IR limit of SYK model: the same dynamics appears holographically in the boundary of the JT gravity. The Schwarzian derivative leads us to suggest a relation between these theories and uniformization theory of Riemann surfaces.
SYK model and the Schwarzian theory
Volpe, Daniele
2019/2020
Abstract
In this thesis we analized in the dail the structural properties of Sachdev-Ye-Kitaev model, in comparison to the supposed holographic partner: the nearly AdS_2 Jackiw-Teitelboim dilaton gravity black hole. The mathematical fact relating the theories is the emergence of a Schwarzian derivative-shaped action in the conformal IR limit of SYK model: the same dynamics appears holographically in the boundary of the JT gravity. The Schwarzian derivative leads us to suggest a relation between these theories and uniformization theory of Riemann surfaces.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/28387