2D CFTs - Large Charge is not enough
High Energy Physics - Theory
2022-04-01 v2
Abstract
In this note we study two-dimensional CFTs at large global charge. Since the large-charge sector decouples from the dynamics, it does not control the dynamics and an EFT construction that works in higher-dimensional theories fails. It is however possible to use large charge in a double-scaling limit when another controlling parameter is present. We find some general features of the spectrum of models that admit an NLSM description in a WKB approximation and use the large-charge sector of the solvable WZW model to argue the regimes of applicability of both the large-Q expansion and the double-scaling limit.
Cite
@article{arxiv.2112.03286,
title = {2D CFTs - Large Charge is not enough},
author = {Thiago Araujo and Omar Celikbas and Domenico Orlando and Susanne Reffert},
journal= {arXiv preprint arXiv:2112.03286},
year = {2022}
}
Comments
18 pages. Version accepted in Phys.Rev.D