Holographic RG flows on Squashed S3

Kiritsis, Elias; Litos, Christos

doi:10.1007/jhep12(2022)161

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The Holographic Setup1

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2023

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“…in the IR (z → ∞). Note that this metric implicitly assumes flat slicings of AdS d+1 , although some authors have considered curved slicings [53][54][55].…”

Section: The Holographic Setupmentioning

confidence: 99%

c-functions in higher-derivative flows across dimensions

Deddo,

Liu,

Pando Zayas

et al. 2023

J. High Energ. Phys.

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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 CFT2 satisfies a type of monotonicity. We also uncover direct relations between NEC-motivated and entropic central charges.

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“…in the IR (z → ∞). Note that this metric implicitly assumes flat slicings of AdS d+1 , although some authors have considered curved slicings [53][54][55].…”

Section: The Holographic Setupmentioning

confidence: 99%