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 and charges and the overall coefficient factor of the energy-momentum tensor two-point function, namely, , where is the anti–de Sitter 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 the Riemann tensor at most linearly.
- Received 17 April 2019
DOI:https://doi.org/10.1103/PhysRevD.99.126003
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society