Flat JT Gravity and the BMS-Schwarzian

Abstract

We consider Minkowskian Jackiw-Teitelboim (JT) gravity in Bondi gauge at finite temperature, with non-zero vacuum energy. Its asymptotic symmetries span an extension of the warped Virasoro group, dubbed "BMS${}_2$", which we investigate in detail. In particular, we show that this extension has a single coadjoint orbit when central charges are real and non-zero. The ensuing BMS-Schwarzian action has no saddle points, and only coincides with the boundary action functional of flat JT gravity up to a crucial dilatonic zero-mode that ensures the existence of a well-defined bulk variational principle. We evaluate the corresponding gravitational partition function, which turns out to be one-loop exact precisely thanks to the presence of such a zero-mode.

arXiv comment30 pages; v2: numerous extra details in sections 3-4 and appendix B; typos fixed; references added

References in corpus (38)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Evanescent Black Holes
• An Investigation of AdS${}_2$ Backreaction and Holography
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Bekenstein-Hawking Entropy and Strange Metals
• 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
• Holographic metals and the fractionalized Fermi liquid
• Fermionic Localization of the Schwarzian Theory
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Holography of 3d Flat Cosmological Horizons
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Entropy of three-dimensional asymptotically flat cosmological solutions
• AdS${}_2$ holography and the SYK model
• Gauge Invariant Formulations of Lineal Gravity
• Warped Conformal Field Theory
• Notes on the complex Sachdev-Ye-Kitaev model
• Notes on the BMS group in three dimensions: I. Induced representations
• BMS Particles in Three Dimensions
• Free Energy from Replica Wormholes
• Notes on the BMS group in three dimensions: II. Coadjoint representation
• AdS${}_2$ Holographic Dictionary
• Near-Horizon Geometry and Warped Conformal Symmetry
• Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
• Flat space holography and complex SYK
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• New boundary conditions for AdS${}_2$
• Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
• Towards a bulk description of higher spin SYK
• Characters of the BMS Group in Three Dimensions
• A note on the SYK model with complex fermions
• A note on the complex SYK model and warped CFTs
• Warped Schwarzian theory
• $W_{1+\infty }$ Dynamics of Edge Excitations in the Quantum Hall Effect
• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• From black holes to baby universes in CGHS gravity
• Flat space holography in spin-2 extended dilaton-gravity

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• One-loop partition function of gravity with leaky boundary conditions
• Holography in CGHS supergravity
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity
• A note on the action with the Schwarzian at the stretched horizon
• Unimodular time in JT gravity: a holographic clock