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Simple recipe for holographic Weyl anomaly
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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.
Forward citations
Cited by 2 Pith papers
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From chiral to conformal anomalies: a double copy perspective for CFT correlators
Squaring the chiral-anomaly three-current correlator, in its five-dimensional flat-space limit, reproduces the conformal-anomaly contribution to the stress-tensor three-point function.
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Universal relation between $C_{T}$ and the CFT Weyl anomaly
In any even-dimensional CFT, C_T = [d/(d−1)]·[(d+1)!/(d/2−1)!]·c, where c is the coefficient of the quadratic-in-Weyl term in the trace anomaly.
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