Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities - INSPIRE

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Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities

Yue-Zhou Li
(
- Tianjin U.
)
,
H. Lü
(
- Tianjin U.
)
,
Zhan-Feng Mai
(
- Tianjin U.
)

Aug 1, 2018

31 pages

Published in:

JHEP 10 (2018) 063

Published: Oct 9, 2018

e-Print:

1808.00494 [hep-th]

DOI:

10.1007/JHEP10(2018)063

View in:

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Abstract: (Springer)

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 ℓ 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

.

Note:

latex, 31 pages, typos corrected

AdS-CFT Correspondence
Classical Theories of Gravity
gravitation: higher-order
curvature: higher-order
graviton: massless
vacuum state: anti-de Sitter
spectrum: linear
holography
two-point function
covariance

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