Defects in Jackiw-Teitelboim Quantum Gravity

Abstract

We classify and study defects in 2d Jackiw-Teitelboim gravity. We show these are holographically described by a deformation of the Schwarzian theory where the reparametrization mode is integrated over different coadjoint orbits of the Virasoro group. We show that the quantization of each coadjoint orbit is connected to 2d Liouville CFT between branes with insertions of Verlinde loop operators. We also propose an interpretation for the exceptional orbits. We use this perspective to solve these deformations of the Schwarzian theory, computing their partition function and correlators. In the process, we define two geometric observables: the horizon area operator ${\Phi }_h$ and the geodesic length operator $L(\gamma )$. We show this procedure is structurally related to the deformation of the particle-on-a-group quantum mechanics by the addition of a chemical potential. As an example, we solve the low-energy theory of complex SYK with a U(1) symmetry and generalize to the non-abelian case.

arXiv comment66 pages, v4: clarifications added, typos corrected, matches published version

References in corpus (53)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Relative entropy equals bulk relative entropy
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Fermionic Localization of the Schwarzian Theory
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Solving the Schwarzian via the Conformal Bootstrap
• Bi-Local Holography in the SYK Model
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Power-law out of time order correlation functions in the SYK model
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Gauge Theory Loop Operators and Liouville Theory
• The Bulk Dual of SYK: Cubic Couplings
• Towards a full solution of the large N double-scaled SYK model
• Euclidean Wormholes in String Theory
• All point correlation functions in SYK
• The Schwarzian Theory - Origins
• Statistical mechanics of a two-dimensional black hole
• The Schwarzian Theory - A Wilson Line Perspective
• Towards a 2d QFT Analog of the SYK Model
• Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
• Three Dimensional View of the SYK/AdS Duality
• Shockwave S-matrix from Schwarzian Quantum Mechanics
• Universal low temperature theory of charged black holes with AdS${}_2$ horizons
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Coadjoint orbits of the Virasoro algebra and the global Liouville equation
• Disordered Quivers and Cold Horizons
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
• De Sitter Horizons & Holographic Liquids
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• On CFT and Quantum Chaos
• Space-Time in the SYK Model
• Geometric actions for three-dimensional gravity
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Does the SYK model have a spin glass phase?
• A note on the SYK model with complex fermions
• A note on the complex SYK model and warped CFTs
• Towards Black Hole Evaporation in Jackiw-Teitelboim Gravity
• Gauge Theories for Gravity on a Line
• Quantization of conical spaces in 3D gravity
• Entanglement Dynamics in 2D CFT with Boundary: Entropic origin of JT gravity and Schwarzian QM
• The gravitational dynamics of kinematic space
• AGT/Z${}_2$
• Notes on the Verlinde formula in non-rational conformal field theories
• An Inelastic Bound on Chaos
• Note on global symmetry and SYK model
• Localization and Non-Renormalization in Chern-Simons Theory
• Liouville theory and special coadjoint Virasoro orbits

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• FZZT branes in JT gravity and topological gravity
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• Supergroup Structure of Jackiw-Teitelboim Supergravity
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• Unruh detectors and quantum chaos in JT gravity
• Rotating Black Holes in AdS, Extremality and Chaos
• JT Gravity Limit of Liouville CFT and Matrix Model
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• Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
• Wormholes, branes and finite matrices in sine dilaton gravity
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• Quantum Correction to Chaos in Schwarzian Theory
• Phase transitions for deformations of JT supergravity and matrix models
• Operational islands and black hole dissipation in JT gravity
• Branes in JT (super)gravity from group theory
• $T\overline{T}$-deformed free energy of the Airy model
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Pacman geometries and the Hayward term in JT gravity
• Twistor representation of Jackiw-Teitelboim gravity
• Replica Wormholes from Liouville Theory
• Schwarzian quantum mechanics as a Drinfeld-Sokolov reduction of $BF$ theory
• Baby universes in 2d and 4d theories of quantum gravity
• Les Houches lectures on two-dimensional gravity and holography
• Quantum group origins of edge states in double-scaled SYK
• Phase space holography with no strings attached
• Encoded information of mixed correlations: the views from one dimension higher
• Quantum-Corrected Hawking Radiation from Near-Extremal Kerr-Newman Black Holes
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• Schwarzian for colored Jackiw-Teitelboim gravity
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• Exploring the Applicability of Birkhoff's Theorem in Jackiw-Teitelboim Gravity
• Unimodular time in JT gravity: a holographic clock