Aspects of AdS${}_2$ Quantum Gravity and the Karch-Randall Braneworld

Abstract

In this paper, we use the Karch-Randall braneworld to study theories of quantum gravity in two dimensional (nearly) anti-de Sitter space (AdS${}_2$). We focus on effective gravitational theories in the setup with two Karch-Randall branes embedded in an asymptotically AdS${}_3$ bulk forming a wedge. We find the appearance of two-dimensional Einstein-Hilbert gravity (or the Lorenzian version of Marolf-Maxfield theory) when the branes are rigid but the emergence of a class of dilaton gravity models parameterized by the tensions of the two branes when brane fluctuations are accounted for. A special case of our result is Jackiw-Teitelboim (JT) gravity, which has been proven useful to address many important problems in quantum gravity. An important implication of our work is that these models have holographic duals as one-dimensional quantum mechanics systems. At the end, we discuss a puzzle regarding the energy spectrum and its resolution.

39 Pages, 11 figures, comments are welcome; references added

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• Cosmological and black hole islands in multi-event horizon spacetimes
• Island on codimension-two branes in AdS/dCFT
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Island formula in Planck brane
• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• Multiverse in Karch-Randall Braneworld
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• Mechanism to induce geometric constriction on kinks and domain walls
• Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
• Islands and dynamics at the interface
• Hartle-Hawking state and its factorization in 3d gravity
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Wormholes with Ends of the World
• Classical geometry from the tensionless string
• Multiway Junction Conditions: Booklets and Webs
• Open-closed 3d gravity as a random ensemble
• The fate of boundary terms in dimensional reductions
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff