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de Sitter Microstates from Tbar T+Λ₂ and the Hawking-Page Transition

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arxiv 2110.14670 v2 pith:HIL5BGGU submitted 2021-10-27 hep-th astro-ph.COgr-qchep-ph

de Sitter Microstates from Tbar T+Λ₂ and the Hawking-Page Transition

classification hep-th astro-ph.COgr-qchep-ph
keywords hawking-pagelambdamicrostatestransitionalongdeformationgeneralizationsresults
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We obtain microstates accounting for the Gibbons-Hawking entropy in $dS_3$, 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.

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