翻转AdS/ℤ中的全息性：dS全息性的另一种途径
Holography in flipped AdS/$\mathbb{Z}$: Another approach to dS holography
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中文总结 AI 辅助
该研究针对常规dS/CFT对应中的问题，通过解析延拓关联fAdS与dS时空的量子场论，构建fAdS的fCFT全息描述，并用fCFT₂的Cardy公式重现了dS₃和Kerr-dS₃的宇宙学视界熵，为dS全息性提供了新途径。
中文摘要 AI 辅助
受常规dS/CFT对应中微妙问题的启发，我们将解析延拓作为德西特（de Sitter）全息性的构建途径进行探索。我们证明，德西特空间中的量子场论与一种被称为翻转AdS/ℤ（fAdS）的时空中的量子场论可通过解析延拓关联。随后，我们以一种被称为翻转共形场论（fCFT）的边界理论为基础，构建了fAdS的全息描述。特别地，我们针对一般渐近fAdS时空构造了外推字典，并计算了全息两点函数，发现其与基于fCFT共形对称性的独立推导结果一致。fAdS与dS之间的解析延拓关系进一步表明，fCFT或可作为德西特物理的另一种全息描述的起点。作为对该图景的非平凡检验，我们证明fCFT₂的Cardy公式可重现纯dS₃和Kerr-dS₃中宇宙学视界的贝肯斯坦-霍金熵。
英文摘要
Motivated by the subtleties in the conventional dS/CFT correspondence, we explore analytic continuation as a constructive route to de Sitter holography. We show that quantum field theories in de Sitter space and in a spacetime that we call flipped $\mathrm{AdS}/\mathbb{Z}$ (fAdS) are related by analytic continuation. We then develop a holographic description of fAdS in terms of a boundary theory referred to as flipped CFT (fCFT). In particular, we construct the extrapolate dictionary for general asymptotically fAdS spacetimes and compute the holographic two-point functions, finding agreement with an independent derivation based on the conformal symmetry of fCFT. The analytic continuation relation between fAdS and dS further suggests that fCFT may provide a starting point for an alternative holographic description of de Sitter physics. As a nontrivial check of this picture, we show that the Cardy formula of fCFT$_2$ reproduces the Bekenstein--Hawking entropies of the cosmological horizons in both pure dS$_3$ and Kerr-dS$_3$.
