标题： de Sitter/共形场论（dS/CFT）全息论的方面 显示英文标题

标题： Aspects of dS/CFT Holography

摘要： 有人建议，半径为 $R_{ds}$ 的 $dS_{d+1}$ 时空有一个全息对偶，位于未来类空无穷远 ${\cal I}^+$，其中体波函数与边界理论的配分函数对偶。 [arXiv:astro-ph/0210603v5]。 我们考虑了这种对应关系的一些方面。 对于属于主系列表征且质量为 $M^2R_{ds}^2>{d^2\over4}$ 的欠阻尼标量场，我们证明对于Bunch-Davies真空态，边界理论中的合适源可以用波函数的相干态表示来识别。 我们论证了所得相关函数中独立于晚期截止值的项满足共形场论的Ward恒等式。 我们还讨论了在欠阻尼和过阻尼情况下识别源的其他方法，其中 $M^2R_{ds}^2<{d^2\over4}$，并认为这些方法也可以导致满足CFT Ward恒等式的关联函数。 还包括了一些关于反射正定性破坏以及依赖于截止值的项的评论，并附带一些明确的检查和样本计算。 显示英文摘要

摘要： It has been suggested that a $dS_{d+1}$ spacetime of radius $R_{ds}$ has a holographic dual, living at future space-like infinity ${\cal I}^+$, with the bulk wave function being dual to the partition function of the boundary theory, [arXiv:astro-ph/0210603v5]. We consider some aspects of this correspondence. For under damped scalars with mass $M^2R_{ds}^2>{d^2\over4}$, belonging to the principal series, we show that for the Bunch Davies vacuum a suitable source in the boundary theory can be identified in terms of the coherent state representation of the wave function. We argue that terms in the resulting correlation functions, which are independent of the late time cut-off, satisfy the Ward identities of a conformal field theory. We also discuss other ways to identify sources, both in the under damped and the over damped case, where $M^2R_{ds}^2<{d^2\over4}$, and argue that these too can lead to correlators satisfying the Ward identities of a CFT. Some comments on the violation of reflection positivity, and the cut-off dependent terms, along with some explicit checks and sample calculations, are also included.