Simple recipe for holographic Weyl anomaly

F. Bugini, D. E. Diaz

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We propose a recipe — arguably the simplest — to compute the holographic type-B Weyl anomaly for general higher-derivative gravity in asymptotically AdS spacetimes. In 5 and 7 dimensions we identify a suitable basis of curvature invariants that allows to read off easily, without any further computation, the Weyl anomaly coefficients of the dual CFT. We tabulate the contributions from quadratic, cubic and quartic purely algebraic curvature invariants and also from terms involving derivatives of the curvature. We provide few examples, where the anomaly coefficients have been obtained by other means, to illustrate the effectiveness of our prescription.

Original languageEnglish
Article number122
JournalJournal of High Energy Physics
Volume2017
Issue number4
DOIs
Publication statusPublished - 1 Apr 2017

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curvature
anomalies
coefficients
gravitation

Keywords

  • AdS-CFT Correspondence
  • Anomalies in Field and String Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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Simple recipe for holographic Weyl anomaly. / Bugini, F.; Diaz, D. E.

In: Journal of High Energy Physics, Vol. 2017, No. 4, 122, 01.04.2017.

Research output: Contribution to journalArticle

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AB - We propose a recipe — arguably the simplest — to compute the holographic type-B Weyl anomaly for general higher-derivative gravity in asymptotically AdS spacetimes. In 5 and 7 dimensions we identify a suitable basis of curvature invariants that allows to read off easily, without any further computation, the Weyl anomaly coefficients of the dual CFT. We tabulate the contributions from quadratic, cubic and quartic purely algebraic curvature invariants and also from terms involving derivatives of the curvature. We provide few examples, where the anomaly coefficients have been obtained by other means, to illustrate the effectiveness of our prescription.

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