c-functions in higher-derivative flows across dimensions

Evan Deddo (Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109, USA) ; James Liu (Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109, USA) ; Leopoldo Pando Zayas (Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109, USA; School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA; The Abdus Salam International Centre for Theoretical Physics, Trieste, 34014, Italy) ; Robert Saskowski (Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109, USA)

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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      "surname": "Pando Zayas", 
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      "value": "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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Published on:
23 August 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 8
Pages 1-38
DOI:
https://doi.org/10.1007/JHEP08(2023)147
arXiv:
2305.18530
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: