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

H. Lü and Rui Wen
Phys. Rev. D 99, 126003 – Published 11 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.

  • 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

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

H. Lü1,* and Rui Wen2,†

  • 1Center for Joint Quantum Studies, School of Science Tianjin University, Tianjin 300350, China
  • 2School of Physics, University of Science and Technology of China, Hefei 230026, China

  • *mrhonglu@gmail.com
  • wenrui1024@outlook.com

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Issue

Vol. 99, Iss. 12 — 15 June 2019

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