AdS_{2} holography and 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$_2$ spaces. The second part is about the JackiwTeitelboim theory and nearlyAdS$_2$ spaces. The third part introduces the SachdevYeKitaev model, reviews some of the basic calculations and discusses what features make the model exciting.
 Publication:

Proceedings of the XIII Modave Summer School in Mathematical Physics. 1016 September 2017 Modave
 Pub Date:
 September 2017
 arXiv:
 arXiv:1711.08482
 Bibcode:
 2017msmp.confE...1S
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 General Relativity and Quantum Cosmology
 EPrint:
 Lecture notes, 58 pages. v6: further small corrections