从禁闭中获得的宇宙学？
Cosmology from confinement?
摘要：
我们描述了一类全息模型，可以描述某些四维大爆炸/大坍缩宇宙学的物理。该构造涉及一对3D欧几里得全息CFTs，每个3D欧几里得全息CFTs在均匀和各向同性空间$M$上，在间隔${\cal I}$的任一端耦合到$M \times {\cal I}$上的欧几里得4D CFT，其中具有少得多的局部自由度。我们认为，在某些情况下，当$M$的大小远大于${\cal I}$的长度时，理论流到红外线中$M$上的带隙/限制的三维场论，这反映在对偶描述中，由渐近AdS时空对偶于在红外线中连接起来的两个三维CFTs，给出一个欧几里得虫洞。欧几里德构造可以被重新解释为在$M \times {\rm time}$上产生洛伦兹四维CFT的状态，其对偶包括大爆炸/大挤压宇宙学的物理学。当$M$是$\mathbb{R}^3$时，我们可以交替解析地继续其中一个$\mathbb{R}^3$方向，得到一个永远可穿越的四维平面虫洞.我们建议明确的微观例子，其中的4D CFT是${\cal N}=4$ SYM理论和3D CFTs是超共形场论与相反的方向。在这种情况下，与3D SCFT对偶的两个几何可以理解为膜-反膜对的几何版本，并且几何连接的趋势与膜-反膜系统的标准不稳定性有关。
英文摘要：
We describe a class of holographic models that may describe the physics of certain four-dimensional big-bang / big-crunch cosmologies. The construction involves a pair of 3D Euclidean holographic CFTs each on a homogeneous and isotropic space $M$ coupled at either end of an interval ${\cal I}$ to a Euclidean 4D CFT on $M \times {\cal I}$ with many fewer local degrees of freedom. We argue that in some cases, when the size of $M$ is much greater than the length of ${\cal I}$, the theory flows to a gapped / confining three-dimensional field theory on $M$ in the infrared, and this is reflected in the dual description by the asymptotically AdS spacetimes dual to the two 3D CFTs joining up in the IR to give a Euclidean wormhole. The Euclidean construction can be reinterpreted as generating a state of Lorentzian 4D CFT on $M \times {\rm time}$ whose dual includes the physics of a big-bang / big-crunch cosmology. When $M$ is $\mathbb{R}^3$, we can alternatively analytically continue one of the $\mathbb{R}^3$ directions to get an eternally traversable four-dimensional planar wormhole. We suggest explicit microscopic examples where the 4D CFT is ${\cal N}=4$ SYM theory and the 3D CFTs are superconformal field theories with opposite orientation. In this case, the two geometries dual to the pair of 3D SCFTs can be understood as a geometrical version of a brane-antibrane pair, and the tendency of the geometries to connect up is related to the standard instability of brane-antibrane systems.
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