Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models
High Energy Physics - Theory
2023-10-02 v1
Abstract
We argue for the matching of 1-loop divergences between 4d Chern-Simons theory with Disorder defects and the corresponding integrable 2d sigma-models of non-ultralocal type. Starting from the 4d path integral, we show under general assumptions that the 1-loop divergences localise to the 2d defects. They match the 'universal' formulae developed in [arXiv:2209.05502] for the 1-loop RG flows of integrable 2d sigma-models. Our argument uses an alternate path integral representation for the 1-loop effective action and the known classical equivalence between the 4d and 2d theories.
Cite
@article{arxiv.2309.16753,
title = {Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models},
author = {Nat Levine},
journal= {arXiv preprint arXiv:2309.16753},
year = {2023}
}
Comments
5 + 4 pages