Modular Flow of Celestial Conformal Field Theory

TL;DR

This paper reviews modular and vector flows in various conformal and celestial field theories, exploring their structures and potential presence in exotic theories like Lifshitz.

Contribution

It extends the understanding of modular and vector flows to celestial CFTs and Klein CFTs, and investigates their existence in less conventional theories.

Findings

Reviewed modular and vector flows in 2D CFTs, Warped CFTs, and BMSFTs.

Presented new vector and modular flows in celestial field theory and Klein CFTs.

Discussed potential structures in Lifshitz and other exotic field theories.

Abstract

We first review the calculations for the modular flow and the vector flow of $\text{CFT}_2$, Warped CFTs and BMSFTs, and then we present the vector flow and modular flows in celestial field theory and Klein CFTs. We also discuss the search for this structure in Lifshitz and other exotic field theories.