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This content will become publicly available on March 1, 2026

Title: Timelike-bounded dS4 holography from a solvable sector of the T2 deformation
A<sc>bstract</sc> Recent research has leveraged the tractability of$$ T\overline{T} $$ T T ¯ style deformations to formulate timelike-bounded patches of three-dimensional bulk spacetimes includingdS3. This proceeds by breaking the problem into two parts: a solvable theory that captures the most entropic energy bands, and a tuning algorithm to treat additional effects and fine structure. We point out that the method extends readily to higher dimensions, and in particular does not require factorization of the fullT2operator (the higher dimensional analogue of$$ T\overline{T} $$ T T ¯ defined in [1]). Focusing ondS4, we first define a solvable theory at finiteNvia a restrictedT2deformation of theCFT3onS2×ℝ, in whichTis replaced by the form it would take in symmetric homogeneous states, containing only diagonal energy densityE/Vand pressure (-dE/dV) components. This explicitly defines a finite-N solvable sector ofdS4/deformed-CFT3, capturing the radial geometry and count of the entropically dominant energy band, reproducing the Gibbons-Hawking entropy as a state count. To accurately capture local bulk excitations ofdS4including gravitons, we build a deformation algorithm in direct analogy to the case ofdS3with bulk matter recently proposed in [2]. This starts with an infinitesimal stint of the solvable deformation as a regulator. The full microscopic theory is built by adding renormalized versions ofT2and other operators at each step, defined by matching to bulk local calculations when they apply, including an uplift fromAdS4/CFT3todS4(as is available in hyperbolic compactifications of M theory). The details of the bulk-local algorithm depend on the choice of boundary conditions; we summarize the status of these in GR and beyond, illustrating our method for the case of the cylindrical Dirichlet condition which can be UV completed by our finite quantum theory.  more » « less
Award ID(s):
2310429
PAR ID:
10614674
Author(s) / Creator(s):
;
Publisher / Repository:
Springer
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2025
Issue:
3
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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