SYK Model: Introduction and Tensor Models - Lecture 1

Explore the intricacies of the SYK Model in this comprehensive lecture from the Kavli Asian Winter School on Strings, Particles and Cosmology 2018. Delve into quantum field theory, tensor models, and the SYK model's behavior in the infrared regime. Examine vector and matrix models before focusing on tensor models and their diagrammatic representations. Learn about the order of diagrams in 1/N expansions and geometric interpretations. Investigate the SYK Model's properties, including Gaussian random quenched disorder and melonic dominance. Gain insights through detailed explanations and a concluding Q&A session.

Kavli Asian Winter School KAWS on Strings, Particles and Cosmology 2018
SYK Model Lecture - 01
Quantum field theory
Tensor models
SYK in the infrared at strong coupling
Vector models
Matrix models
Tensor models
Diagrams
Order in 1/N of diagram1/N omega-3
Want a geometric definition of omega
There are 3 ways to turn into matrix model diagram
Claim
SYK Model
Gaussian random, quenched disorder
Melon
Non melons are down by powers of 1/N
Q&A