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AdS/CFT Duality and Holographic Renormalization Group: A Review

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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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Strongly Coupled Continuous Time Crystal

quant-ph · 2025-07-21 · reject · novelty 4.0

The authors claim that continuous time crystals in strongly correlated lattice bosons are holographically dual to charged AdS black holes, yielding a critical temperature formula and a universal scaling law.

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  • Strongly Coupled Continuous Time Crystal quant-ph · 2025-07-21 · reject · none · ref 30 · internal anchor

    The authors claim that continuous time crystals in strongly correlated lattice bosons are holographically dual to charged AdS black holes, yielding a critical temperature formula and a universal scaling law.