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- W2153274301 abstract "We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter (AdS) spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working all details in a simple example: a massive scalar field on anti-de Sitter spacetime. The discussion includes the derivation of the on-shell renormalized action, holographic Ward identities, anomalies and renormalization group (RG) equations, and the computation of renormalized one-, two- and four-point functions. We then discuss the application of the method to holographic RG flows. We also show that the results of the near-boundary analysis of asymptotically AdS spacetimes can be analytically continued to apply to asymptotically de Sitter spacetimes. In particular, it is shown that the Brown–York stress energy tensor of de Sitter spacetime is equal, up to a dimension-dependent sign, to the Brown–York stress energy tensor of an associated AdS spacetime." @default.
- W2153274301 created "2016-06-24" @default.
- W2153274301 creator A5019593911 @default.
- W2153274301 date "2002-11-06" @default.
- W2153274301 modified "2023-10-02" @default.
- W2153274301 title "Lecture notes on holographic renormalization" @default.
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- W2153274301 doi "https://doi.org/10.1088/0264-9381/19/22/306" @default.
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