AdS/CFT Duality and Holographic Renormalization Group: A Review
High Energy Physics - Theory
2024-12-10 v1 Statistical Mechanics
Abstract
In this paper we review aspects of anti de Sitter/conformal field theory (AdS/CFT) duality and the notion of holographic renormalization group (RG) flow. We start by discussing supersymmetry and construct the N = 4 super Yang-Mills theory in d = 4 by Kaluza-Klein dimensional reduction method. Then, we study the large-N limit and how it leads to the AdS/CFT duality. Using AdS/CFT, we then study the super-gravitational dual flows to the RG flows in CFT generated by marginal and relevant deformations, using the N = 4 super Yang-Mills theory as an example. Then, we prove the Zamolodchikov C-theorem holographically. Finally, we discuss the Wilsonian holographic renormalization.
Keywords
Cite
@article{arxiv.2412.05446,
title = {AdS/CFT Duality and Holographic Renormalization Group: A Review},
author = {Han Huang},
journal= {arXiv preprint arXiv:2412.05446},
year = {2024}
}