$T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon

Abstract

The $T\bar{T}+{\Lambda }_2$ deformation of a Holographic CFT on a cylinder (or torus in Euclidean signature) inhabits the stretched cosmological horizon in dS${}_3$ when the deformation parameter is tuned to a particular value. I will describe how this insight allows us to compute the entropy of the stretched cosmic horizon including the logarithmic correction.

17 pages, one appendix, no figures. Some typos and factor errors fixed in v2. Introduction expanded in v3

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• Towards a quantum theory of de Sitter space
• Entropy, Entanglement and Swampland Bounds in DS/dS
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Cited by in corpus (18)

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• Field Theory of Interacting Boundary Gravitons
• Interpolating geometries and the stretched dS${}_2$ horizon
• Complex geodesics in de Sitter space
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• A microscopic realization of dS${}_3$
• Flows in the Space of Interacting Chiral Boson Theories
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• The Cosmological Switchback Effect II
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• $T\overline{T}$-deformed free energy of the Airy model
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• 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
• De Sitter Horizon Edge Partition Functions