-functions in Higher-derivative Flows Across Dimensions
arXiv:2305.18530 · doi:10.1007/JHEP08(2023)147
Abstract
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 satisfies a type of monotonicity. We also uncover direct relations between NEC-motivated and entropic central charges.
arXiv comment37 pages; references added
References in corpus (65)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Aspects of Holographic Entanglement Entropy
- The Holographic Weyl anomaly
- Towards a derivation of holographic entanglement entropy
- Supergravity description of field theories on curved manifolds and a no go theorem
- Quantum corrections to holographic entanglement entropy
- On Renormalization Group Flows in Four Dimensions
- On Black Hole Entropy
- Holographic c-theorems in arbitrary dimensions
- Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
- The Exact Superconformal R-Symmetry Extremizes Z
- Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
- Entropy of Lovelock Black Holes
- On the RG running of the entanglement entropy of a circle
- Seeing a c-theorem with holography
- Black Holes in Quasi-topological Gravity
- Holography and the Weyl anomaly
- Diffeomorphisms and Holographic Anomalies
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
- F-Theorem without Supersymmetry
- Two-dimensional SCFTs from wrapped branes and c-extremization
- Holographic studies of quasi-topological gravity
- Holographic Entanglement Entropy in Lovelock Gravities
- Comments on Holographic Entanglement Entropy and RG Flows
- On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
- M-Fivebranes Wrapped on Supersymmetric Cycles
- On the new massive gravity and AdS/CFT
- Markov property of the CFT vacuum and the a-theorem
- Modular Hamiltonians on the null plane and the Markov property of the vacuum state
- A c-theorem for the entanglement entropy
- On renormalization group flows and the a-theorem in 6d
- Type IIB Supergravity Solutions with AdS From Abelian and Non-Abelian T Dualities
- Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
- Born-Infeld extension of new massive gravity
- On Subleading Contributions to the AdS/CFT Trace Anomaly
- Fivebranes Wrapped On Associative Three-Cycles
- Membranes Wrapped on Holomorphic Curves
- Entanglement entropy in higher derivative holography
- Two-dimensional SCFTs from D3-branes
- Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
- Compactifications of the Klebanov-Witten CFT and new backgrounds
- Universal RG Flows Across Dimensions and Holography
- Magnetic and electric AdS solutions in string- and M-theory
- M-Fivebranes Wrapped on Supersymmetric Cycles II
- Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
- c-functions in the Born-Infeld extended New Massive Gravity
- Holographic RG flows on curved manifolds and quantum phase transitions
- Holographic Uniformization
- On higher derivative gravity, c-theorems and cosmology
- Holographic RG flows on curved manifolds and the -theorem
- Holographic c-theorems and higher derivative gravity
- Holographic c-theorem and Born-Infeld Gravity Theories
- Evidence for a 5d F-theorem
- C-Functions in Lovelock Gravity
- Renormalized holographic entanglement entropy in Lovelock gravity
- Holographic Uniformization and Black Hole Attractors
- 3D Lovelock Gravity and the Holographic c-Theorem
- A Holographic Study of the -theorem and RG Flow in General Quadratic Curvature Gravity
- Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
- Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
- Holographic RG flows on Squashed
- Higher order curvature corrections and holographic renormalization group flow