A note on the complex SYK model and warped CFTs

TL;DR

This paper explores the relationship between the complex SYK model at the conformal limit and warped conformal field theories, focusing on symmetries, correlation functions, and entropy, using modular covariance for reinterpretation.

Contribution

It provides a detailed comparison of symmetries, correlation functions, and entropy formulas between the complex SYK model and warped CFTs, highlighting their connections.

Findings

Both theories share an $SL(2,R) imes U(1)$ symmetry.

Correlation functions exhibit similar structures in both models.

Entropy formulas can be related through modular covariance.

Abstract

We discuss the connections between the complex SYK model at the conformal limit and warped conformal field theories. Both theories have an $SL(2,R) \times U(1)$ global symmetry. We present comparisons on symmetries, correlation functions, the effective action and the entropy formula. We also use modular covariance to reinterpret results in the complex SYK model.