AdS₂ holography and the SYK model

2017/11/22 by Gábor Sárosi · 3 voices · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #cond-mat.str-el #gr-qc #hep-th

paper · pdf · doi:10.22323/1.323.0001

openalex publication_date 2018/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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 AdS₂ spaces. The second part is about the Jackiw-Teitelboim theory and nearly-AdS₂ spaces. The third part introduces the Sachdev-Ye-Kitaev model, reviews some of the basic calculations and discusses what features make the model exciting.

Citations

• The \imath ε prescription in the SYK model

Cited by

• Exploring the Infrared Landscape of the SYK Model
• Variations on a Theme of Krylov
• Exploring the Spectral Edge in SYK Models
• An analytic approach for holographic entanglement entropy at (quantum) criticality
• Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models
• The Effects of Near-AdS₂ Backreaction on Matter Fields

Discussions

• The linearized Schwarzian action is a quadratic Euclidean action $^1$ $$\begin{align} I[\epsilon]~=~&\frac{1}{2}\int_{-\pi}^{\pi}\!du~\left( \epsilon^{\prime\prime 2}-\epsilon^{\prime2}\right)\cr ~\st [stackexchange, 8 points]
• I'm excited to better understand the holography within the SYK model . I enjoy a rigorous understanding, which I'm trying to achieve via the 'review' papers from Rosenhaus , Maldacena , Trunin and Sar [stackexchange, 5 points]
• I am currently reading section 2 of [1], trying to understand the motivations behind Jackiw-Teitelbom (JT) gravity. It is known that the near-horizon geometry of an extremal RN black hole is $AdS_2\ti [stackexchange, 4 points]

Related

• Simulating black hole quantum dynamics on an optical lattice using the complex Sachdev-Ye-Kitaev model
• AdS₂ Holography and Effective QFT
• The DSSYK Model: Charge and Holography
• Black Holes and the Holographic Principle
• Quantum Gravity and the Holographic Principle