Irrelevant Operators and their Holographic Anomalies
Abstract
Irrelevant operators in a CFT modify the usual Weyl transformation of the metric. A metric beta-function turns on, which modifies the Weyl anomalies as well. In this paper, we study the relation between bulk diffeomorphisms and Weyl transformation at the boundary when a massive scalar field, which sources irrelevant operators at the boundary, is coupled to the bulk metric. Considering the effect of the backreaction generated by the scalar field, we provide a holographic description of the boundary metric beta-function and anomalies. Our results represent an additional test of the AdS/CFT correspondence.
Cite
@article{arxiv.2111.08286,
title = {Irrelevant Operators and their Holographic Anomalies},
author = {Matteo Broccoli},
journal= {arXiv preprint arXiv:2111.08286},
year = {2022}
}
Comments
19 pages + appendices, matches published version; added references, more comments on the results and added appendix with the complete expression of the anomaly; Mathematica notebook with explicit results, including the anomaly, attached