Universal structure of covariant holographic two-point functions in massless higher-order gravities

  • Yue-Zhou Li
  • H. Lü
  • Zhan-Feng Mai
Open Access
Regular Article - Theoretical Physics


We consider massless higher-order gravities in general D = d + 1 dimensions, which are Einstein gravity extended with higher-order curvature invariants in such a way that the linearized spectrum around the AdS vacua involves only the massless graviton. We derive the covariant holographic two-point functions and find that they have a universal structure. In particular, the theory-dependent overall coefficient factor \( {\mathcal{C}}_T \) can be universally expressed by \( \left(d - 1\right){\mathcal{C}}_T = \ell \left(\partial a/\partial \ell \right) \), where a is the holographic a-charge and is the AdS radius. We verify this relation in quasi-topological Ricci polynomial, Einstein-Gauss-Bonnet, Einstein-Lovelock and Einstein cubic gravities. In d = 4, we also find an intriguing relation between the holographic c and a charges, namely \( c=\frac{1}{3}\ell \left(\partial a/\partial \ell \right) \), which also implies \( {\mathcal{C}}_T=c \).


AdS-CFT Correspondence Classical Theories of Gravity 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Center for Joint Quantum Studies and Department of Physics, School of ScienceTianjin UniversityTianjinChina

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