Renormalization group flows in AdS and the bootstrap program

Abstract

We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS2, this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow us to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function.

arXiv comment43+27 pages, 10 figures, a few typos removed, a couple of references added, matches published version

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Cited by in corpus (4)

• Exploring Confinement in Anti-de Sitter Space
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
• RG flows in de Sitter: c-functions and sum rules
• Finite-coupling spectrum of O(N) model in AdS