Universal Features of Holographic Anomalies

Abstract

We study the mechanism by which gravitational actions reproduce the trace anomalies of the holographically related conformal field theories. Two universal features emerge: a) the ratios of type B trace anomalies in any even dimension are independent of the gravitational action, being uniquely determined by the underlying algebraic structure b) the normalization of the type A and the overall normalization of the type B anomalies are given by action dependent expressions with the dimension dependence completely fixed.

17 pages, harvmac

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• Holographic currents in first order Gravity and finite Fefferman-Graham expansions
• Chern-Simons Gravity and Holographic Anomalies
• Flat from anti-de Sitter
• Renormalized Volume
• The Holographic Ward identity: Examples from 2+1 gravity
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• A handbook of holographic 4-point functions
• Holography in 3D AdS gravity with torsion
• An a-theorem for Horndeski Gravity at the Critical Point
• Variational Methods in AdS/CFT
• Simple recipe for holographic Weyl anomaly
• An Effective Theory for Holographic RG Flows
• Irrelevant Operators and their Holographic Anomalies
• New modes from higher curvature corrections in holography
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• Towards a Holographic Dual of SQCD: Holographic Anomalies and Higher Derivative Gravity
• Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
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