Weyl anomaly from Weyl gravity

Abstract

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to $\mathcal{N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with $\mathcal{N}=2$ SCFT conformal anomaly (UV calculation) suggests that such duality may exist subject to presence of sub-leading 1/N corrections to cosmological and gravitational constants.

LaTeX file, 8 pages

References in corpus (2)

• On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
• Strong Coupling Limit of $\mathcal{N}=2$ SCFT Free Energy and Higher Derivative AdS/CFT Correspondence

Cited by in corpus (10)

• Cosmological and black hole brane-world Universes in higher derivative gravity
• Conformal anomaly from dS/CFT correspondence
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• A Note on Holographic Weyl Anomaly and Entanglement Entropy
• Holographic renormalization group and conformal anomaly for AdS_9/CFT_8 correspondence
• Asymptotically de Sitter dilatonic space-time, holographic RG flow and conformal anomaly from (dilatonic) dS/CFT correspondence
• Scheme-dependence of holographic conformal anomaly in d5 gauged supergravity with non-trivial bulk potential
• Order $1/{\mathbf{N}}^3$ corrections to the conformal anomaly of the (2,0) theory in six dimensions
• The Holographic Supercurrent Anomaly
• Holographic Currents and Chern-Simons Terms