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• W3105795440 abstract "We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field generally corresponds to the quantum information metric, called the Bures or Helstrom metric, if the flowed field is normalized appropriately. We next verify that the induced metric computed explicitly with the free flow equation always becomes the AdS metric when the theory is conformal. We finally prove that the conformal symmetry in d dimensions converts to the AdS isometry in d+1 dimensions after d dimensional quantum averaging. This guarantees the emergence of AdS geometry without explicit calculation." @default.
• W3105795440 created "2020-11-23" @default.
• W3105795440 creator A5024356145 @default.
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• W3105795440 date "2018-03-01" @default.
• W3105795440 modified "2023-09-24" @default.
• W3105795440 title "Flow equation, conformal symmetry, and anti-de Sitter geometry" @default.
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• W3105795440 doi "https://doi.org/10.1093/ptep/pty013" @default.
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