c-functions in higher-derivative flows across dimensions - INSPIRE

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c-functions in higher-derivative flows across dimensions

Evan Deddo
(
- Michigan U., LCTP
)
,
James T. Liu
(
- Michigan U., LCTP
)
,
Leopoldo A. Pando Zayas
(
)
,
Robert J. Saskowski
(
- Michigan U., LCTP
)

May 29, 2023

37 pages

Published in:

JHEP 08 (2023) 147

Published: Aug 23, 2023

e-Print:

2305.18530 [hep-th]

DOI:

10.1007/JHEP08(2023)147

Report number:

LCTP-23-07

View in:

ADS Abstract Service

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Abstract: (Springer)

In the context of gravitational theories describing renormalization group flows across dimensions via AdS/CFT, we study the role of higher-derivative corrections to Einstein gravity. We use the Null Energy Condition to derive monotonicity properties of candidate holographic central charges formed by combinations of metric functions. We also implement an entropic approach to the characterization of the four-derivative flows using the Jacobson-Myers functional and demonstrate, under reasonable conditions, monotonicity of certain terms in the entanglement entropy via the appropriate generalization of the Ryu-Takayanagi prescription. In particular, we show that any flow from a higher dimensional theory to a holographic CFT

_{2}

satisfies a type of monotonicity. We also uncover direct relations between NEC-motivated and entropic central charges.

Note:

37 pages; references added

AdS-CFT Correspondence
Renormalization Group
field theory: conformal
derivative: high
renormalization group: flow
entropy: entanglement
holography
central charge
gravitation
null-energy condition

References(75)

Figures(0)

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