AdS/CFT Duality and Holographic Renormalization Group: A Review
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913600583499776 |
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| author | Huang, Han |
| author_facet | Huang, Han |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05446 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | AdS/CFT Duality and Holographic Renormalization Group: A Review Huang, Han High Energy Physics - Theory Statistical Mechanics 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. |
| title | AdS/CFT Duality and Holographic Renormalization Group: A Review |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2412.05446 |