Time: Dec 24, 25 and 26, 2019   3:00pm-4:30pm

Abstract:
The SYK model is a quantum system with many Majorana fermions and random all-to-all interactions. Promoting the Majorana fermions to the complex fermions with a global U(1) symmetry is a simple and fun exercise. I would like to explain a generalized definition of charge for the bilocal action of the complex SYK model following Noether’s procedure, and compute its universal relation to the infrared asymmetry of the Green function. The same relation can be obtained by a renormalization theory. In the end, I will also present a two dimensional bulk picture with free Dirac fermion for the zero temperature entropy.

The lectures are based on arXiv: 1910.14099 (Yingfei Gu, Alexei Kitaev, Subir Sachdev, and Grigory Tarnopolsky)