TL;DR
This paper provides an accessible introduction to AdS$_2$ holography, the Jackiw-Teitelboim model, and the SYK model, highlighting their connections to near-extremal black holes and recent theoretical developments.
Contribution
It offers a comprehensive overview of recent progress in understanding holography in two dimensions and its relation to the SYK model, tailored for early-career researchers.
Findings
Clarifies the challenges of holography in AdS$_2$
Explains the Jackiw-Teitelboim theory and nearly-AdS$_2$ spaces
Discusses key features of the SYK model
Abstract
These are lecture notes based on a series of lectures presented at the XIII Modave Summer School in Mathematical physics aimed at PhD students and young postdocs. The goal is to give an introduction to some of the recent developments in understanding holography in two bulk dimensions, and its connection to microscopics of near extremal black holes. The first part reviews the motivation to study, and the problems (and their interpretations) with holography for AdS spaces. The second part is about the Jackiw-Teitelboim theory and nearly-AdS spaces. The third part introduces the Sachdev-Ye-Kitaev model, reviews some of the basic calculations and discusses what features make the model exciting.
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