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arXiv · 2412.05446

AdS/CFT Duality and Holographic Renormalization Group: A Review

Han Huang
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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.

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Han Huang. 2024-12-06. AdS/CFT Duality and Holographic Renormalization Group: A Review. https://arxiv.org/abs/2412.05446

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