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The Ambient Obstruction Tensor and Q-Curvature

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arxiv math/0405068 v1 pith:NF34KCAG submitted 2004-05-05 math.DG

The Ambient Obstruction Tensor and Q-Curvature

classification math.DG
keywords ambientobstructionq-curvaturetensorbransonclassificationconformallycurvature
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It is shown that the variational derivative of the integral of Branson's Q-curvature is the ambient obstruction tensor of Fefferman-Graham. A classification of irreducible conformally invariant tensors modulo quadratic and higher degree terms in curvature is established.

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  1. Universal relation between $C_{T}$ and the CFT Weyl anomaly

    hep-th 2026-02 conditional novelty 6.0

    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.