Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities
arXiv:1901.11037 · doi:10.1103/PhysRevD.99.126003
Abstract
Recent studies of holographic properties of massless higher-order gravities, whose linear spectrum contains only the (massless) graviton, yielded some universal relations in dimensions between the holographic , charges and the overall coefficient factor of the energy-momentum tensor two-point function, namely , where is the AdS radius. The second equality was shown to be valid in all dimensions. In this paper, we establish the first equality in by examining these quantities from higher-order gravities. Consequently the overall coefficient of the two-point function of the energy-momentum tensor is proportional to this charge, generalizing the well-known result. We identify the relevant charge as the coefficient of a specific combination of the three type-B anomalies. Modulo total derivatives, this combination involves Riemann tensor at most linearly.
arXiv commentLatex, 18 pages, comments and references added
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