arXiv 2403.010402024-03hep-thgr-qchep-ph

体局域 dS$_3$ 全息：带 $T\ar T+Λ_2$ 的物质

Bulk-local dS$_3$ holography: the Matter with $T\bar T+Λ_2$

Gauri Batra, G. Bruno De Luca, Eva Silverstein, Gonzalo Torroba, Sungyeon Yang

备注：: 33 pages, 4 figures, 1 algorithm; v2: fixed typos and added references; v3: matches the version published on JHEP

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文提出一种算法，通过推广 $T\ar T+Λ_2$ 形变并引入双迹算符，为大半径三维德西特时空构建与体物质场局域性相容的具体全息对偶，验证了宇宙视界微观态计数。

摘要：

我们提出一种算法，为具有类时 York 边界的大半径三维德西特时空中的引力及体有效场构建具体对偶。这推广了可解的 $T\ar T+Λ_2$ 形变，其有限实谱将精细化的 Gibbons-Hawking 熵解释为微观态计数，同时再现径向静态块几何。为对体量子场产生近似局域边界条件，所需的推广要求一个方案来定义与形变边界条件对偶的双迹算符，以实现有限类时边界，并在有限 N 下有效。通过从一小段纯 $T\ar T$ 轨迹出发，理论变为有限，从而能够定义良定的减除来构造双迹形变，以良好近似地匹配 Hartman、Kruthoff、Shaghoulian 和 Tajdini 的大 N 处方。我们纳入将负宇宙学常数提升为正宇宙学常数的物质，并分析物质对由时间依赖体激发产生的理论能谱的影响。这验证了大半径 $dS_3$ 全息中宇宙视界 $dS_3$ 微观态计数，将 $T\ar T+Λ_2$ 具体嵌入一个与物质场体局域性相容的更大理论中。我们简要评论了向四维推广的可能性及其他未来方向。

英文摘要：

We propose an algorithm which builds a concrete dual for large-radius 3d de Sitter with a timelike York boundary for both gravity and bulk effective fields. This generalizes the solvable $T\bar T+Λ_2$ deformation, whose finite real spectrum accounts for the refined Gibbons-Hawking entropy as a microstate count while reproducing the radial static patch geometry. The required generalization to produce approximately local boundary conditions for bulk quantum fields requires a scheme for defining double-trace operators dual to deformed boundary conditions to realize the finite timelike boundary, valid at finite N. By starting with a small stint of a pure $T\bar T$ trajectory, the theory becomes finite, enabling well-defined subtractions to define the double-trace deformation so as to match the large-N prescription of Hartman, Kruthoff, Shaghoulian, and Tajdini to good approximation. We incorporate the matter effecting an uplift from negative to positive cosmological constant, and analyze the effect of matter on the energy spectrum of the theory arising from time-dependent bulk excitations. This validates the cosmic horizon $dS_3$ microstate count for large-radius $dS_3$ holography, embedding $T\bar T+Λ_2$ concretely into a larger theory consistent with bulk locality for matter fields. We comment briefly on potential upgrades to four dimensions and other future directions.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

AI总结：

摘要：

英文摘要：

相关论文