Holographic (a,c) charges and their universal relation in d=6 from massless higher-order gravities

Lü, H. (Center for Joint Quantum Studies, School of Science Tianjin University, Tianjin 300350, China) ; Wen, Rui (School of Physics, University of Science and Technology of China, Hefei 230026, China)

12 June 2019

Abstract: Recent studies of holographic properties of massless higher-order gravities, whose linear spectrum contains only the (massless) graviton, yielded some universal relations in d=4 dimensions between the holographic a and c charges and the overall coefficient factor CT of the energy-momentum tensor two-point function, namely, c=1d1a=CT, 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 d=6 by examining these quantities from D=7 higher-order gravities. Consequently, the overall coefficient of the two-point function of the energy-momentum tensor is proportional to this c charge, generalizing the well-known d=4 result. We identify the relevant c 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.

Published in: Physical Review D 99 (2019)
Published by: APS
DOI: 10.1103/PhysRevD.99.126003
License: CC-BY-4.0

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