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.

Comments: 23+7 pages. 3 figures