$Ad{S}_2$ dilaton gravity from reductions of some nonrelativistic theories

Abstract

We study dilaton-gravity theories in 2-dimensions obtained by dimensional reduction of higher dimensional nonrelativistic theories. Focussing on certain families of extremal charged hyperscaling violating Lifshitz black branes in Einstein-Maxwell-scalar theories with an extra gauge field in 4-dimensions, we obtain $Ad{S}_2$ backgrounds in the near horizon throats. We argue that these backgrounds can be obtained in equivalent theories of 2-dim dilaton-gravity with an extra scalar, descending from the higher dimensional scalar, and an interaction potential with the dilaton. A simple subcase here is the relativistic black brane in Einstein-Maxwell theory. We then study linearized fluctuations of the metric, dilaton and the extra scalar about these $Ad{S}_2$ backgrounds. The coefficient of the leading Schwarzian derivative term is proportional to the entropy of the (compactified) extremal black branes.

arXiv commentLatex, 30pgs, references and various clarifications added; v3: references added, typos fixed, matches published version

References in corpus (39)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• N=2 Extremal Black Holes
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Anti-de Sitter Fragmentation
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• Non-Supersymmetric Attractors
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Holographic quantum matter
• AdS${}_2$ holography and the SYK model
• Numerical study of fermion and boson models with infinite-range random interactions
• Bi-Local Holography in the SYK Model
• Non-Supersymmetric Attractors in String Theory
• Magnetic Brane Solutions in AdS
• The complete $1/N$ expansion of a SYK--like tensor model
• Black holes and black branes in Lifshitz spacetimes
• Higher Dimensional Generalizations of the SYK Model
• Models of AdS_2 Backreaction and Holography
• Quantum Chaos and Holographic Tensor Models
• Charged Black Branes with Hyperscaling Violating Factor
• Three Dimensional View of the SYK/AdS Duality
• Holographic Description of AdS_2 Black Holes
• Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
• On Lifshitz scaling and hyperscaling violation in string theory
• AdS${}_2$ Holographic Dictionary
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• Lifshitz/Schrödinger D-p-branes and dynamical exponents
• Lifshitz-like solutions with hyperscaling violation in ungauged supergravity
• Generalized conformal structure, dilaton gravity and SYK
• Hyperscaling violation and the shear diffusion constant
• Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity
• Comments on AdS_2 Gravity
• Hyperscaling violation, quasinormal modes and shear diffusion
• Notes on hyperscaling violating Lifshitz and shear diffusion

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