AI 中文总结
本文在AdS/CFT对偶框架下，利用超极限与自由超滤子概念提出CFTₚ边界理论，指出引力路径积分可产生婴儿宇宙与时空虫洞，并将该思路应用于类AS²态。
AI 中文摘要
当边界时空维数大于1时，我们提出CFTₚ这类边界理论，其中p属于βℕ/ℕ，可在AdS/CFT对偶语境下被解释为理论系综。这些理论仅在边界CFT的无限N极限中涌现，且依赖于p，p对应在存在混沌或振荡算符时，取广义无限N极限的不同方式。该广义无限N极限被称为“超极限（ultralimit）”，p是ℕ上的“自由超滤子（free ultrafilter）”。我们提出引力路径积分在其每个扇区计算CFTₚ的平均；在适当情形下，它会产生婴儿宇宙（baby universes）和时空虫洞。我们将该提议应用于类Antonini-Sasieta-Swingle（AS²）态。
英文摘要
We propose boundary theories, CFT$_{p}$ with $p\in β\mathbb{N}/\mathbb{N}$, which can be interpreted as an ensemble of theories in the context of AdS/CFT duality, when the boundary spacetime dimension is more than one. These theories are only emergent in the infinite $N$ limit of the boundary CFT and depend on $p$, which corresponds to the different ways one can take a generalized form of the infinite $N$ limit, in the presence of a chaotic or an oscillatory operator. This generalized infinite $N$ limit is called an \emph{ultralimit}, and $p$ is a \emph{free ultrafilter} on $\mathbb{N}$. We propose that the gravitational path integral computes an average of CFT$_{p}$ in each of its sectors; and in the appropriate cases, it produces baby universes and spacetime wormholes. We apply this proposal to the Antonini-Sasieta-Swingle (AS$^{2}$) like states.
Comments48 pages, 2 figures
