de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition

Abstract

We obtain microstates accounting for the Gibbons-Hawking entropy in $d{S}_3$, along with a subleading logarithmic correction, from the solvable $T\bar{T}+{\Lambda }_2$ deformation of a seed CFT with sparse light spectrum. The microstates arise as the dressed CFT states near dimension $\Delta =c/6$, associated with the Hawking-Page transition; they dominate the real spectrum of the deformed theory. We exhibit an analogue of the Hawking-Page transition in de Sitter. Appropriate generalizations of the $T\bar{T}+{\Lambda }_2$ deformation are required to treat model-dependent local bulk physics (subleading at large central charge) and higher dimensions. These results add considerably to the already strong motivation for the continued pursuit of such generalizations along with a more complete characterization of $T\bar{T}$ type theories, building from existing results in these directions.

23+7 pages. 3 figures

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Cited by in corpus (38)

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• The minus sign in the first law of de Sitter horizons
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Field Theory of Interacting Boundary Gravitons
• Interpolating geometries and the stretched dS${}_2$ horizon
• Near-Extremal Limits of de Sitter Black Holes
• The Cosmological Switchback Effect
• Complex geodesics in de Sitter space
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Massive gravity generalization of $T\overline{T}$ deformations
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• A microscopic realization of dS${}_3$
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• de Sitter at all loops: the story of the Schwinger model
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Flat space gravity at finite cutoff
• Flows in the Space of Interacting Chiral Boson Theories
• Accelerating cosmology from $\Lambda <0$ gravitational effective field theory
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• The Cosmological Switchback Effect II
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Quantum theory of three-dimensional de Sitter space
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Holographic pressure and volume for black holes
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• De Sitter Horizon Edge Partition Functions
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• $T\bar{T}$ deformed scattering happens within matrices
• Real-time observables in de Sitter thermodynamics
• Fermionic Matrix Models and Bosonization
• On the Spread of Entanglement at Finite Cutoff
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• A Tail of Eternal Inflation