Holographic JT gravity with quartic couplings

Abstract

We construct the most general theory of 2D Einstein-dilaton gravity coupled with $U(1)$ gauge fields that contains all the 2-derivative and the 4-derivative interactions allowed by the diffeomorphism invariance. We renormalise the 2D action and obtain the vacuum solution as well as the black hole solution. The vacuum solution in the UV is dominated by Lifshitz${}_2$ with dynamical exponent ($z=\frac{7}{3}$) while on the other hand, the spacetime curvature diverges as we move towards the deep IR limit. We calculate the holographic stress tensor and the central charge for the boundary theory. Our analysis shows that the central charge goes as the inverse power of the coupling associated to 4-derivative interactions. We also compute the Wald entropy for 2D black holes and interpret its near horizon divergence in terms of the density of states. We compare the Wald entropy with the Cardy formula and obtain the eigen value of Virasoro operator ($L_0$) for our model. Finally, we explore the near horizon structure of 2D black holes and calculate the central charge corresponding to the CFT near horizon. We further show that the near horizon CFT may be recast as a 2D Liouville theory with higher derivative corrections. We study the Weyl invariance of this generalised Liouville theory and identify the Weyl anomaly associated to it. We also comment on the classical vacuum structure of the theory.

arXiv commentAdded refs, Version Accepted in JHEP

References in corpus (61)

• Gauge Theory Correlators from Non-Critical String Theory
• Black Hole Entropy is Noether Charge
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Geometry of the 2+1 Black Hole
• Lecture Notes on Holographic Renormalization
• Black Hole Entropy from Near-Horizon Microstates
• Chaos in AdS${}_2$ holography
• The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Holographic c-theorems in arbitrary dimensions
• Entanglement entropy of black holes
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• A Generalization of Sachdev-Ye-Kitaev
• AdS2 Quantum Gravity and String Theory
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• The Microcanonical Functional Integral. I. The Gravitational Field
• Conformal description of horizon's states
• Bi-Local Holography in the SYK Model
• Holographic Hydrodynamics with a Chemical Potential
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• The Bulk Dual of SYK: Cubic Couplings
• Vacuum States for AdS_2 Black Holes
• On the Holographic Principle in a Radiation Dominated Universe
• Asymptotic symmetries of AdS_2 and conformal group in d=1
• Black Holes in Higher Derivative Gravity Theories
• Models of AdS_2 Backreaction and Holography
• Gravity in Warped Compactifications and the Holographic Stress Tensor
• Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
• Three Dimensional View of the SYK/AdS Duality
• Liouville quantum gravity -- holography, JT and matrices
• Holographic Description of AdS_2 Black Holes
• Central Charge for AdS_2 Quantum Gravity
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy
• Holographic Stress Tensors for Kerr-AdS Black Holes
• 5D Black Holes and Strings with Higher Derivatives
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• Euclidean wormhole in the SYK model
• Three Dimensional View of Arbitrary $q$ SYK models
• Weyl Symmetry and the Liouville Theory
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• AdS_2 Gravity as Conformally Invariant Mechanical System
• Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence
• On higher derivative corrections to the $R+R^2$ inflationary model
• Holographic stress tensor at finite coupling
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• Deformations of the Almheiri-Polchinski model
• Novel cosmological and black hole solutions in Einstein and higher-derivative gravity in two dimensions
• Black hole entropy divergence and the uncertainty principle
• Lectures on String Theory
• JT gravity and the models of Hawking-Page transition for 2D black holes
• Liouville Quantum Gravity
• Liouville gravity from Einstein gravity
• Models of phase stability in Jackiw-Teitelboim gravity
• Holographic derivation of $q$ SYK spectrum with Yang-Baxter shift
• SYK/AdS duality with Yang-Baxter deformations
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes

Cited by in corpus (4)

• Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
• Action complexity of charged black holes with higher derivative interactions
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Phases of Euclidean wormholes in JT gravity