论文标题
新兴的Sasaki-Einstein几何形状和广告/CFT
Emergent Sasaki-Einstein geometry and AdS/CFT
论文作者
论文摘要
我们考虑使用最小的超级对称性，在五维抗De保姆空间中，由Sasaki-Einstein Metric编码在五维紧凑型歧管$ M $上。我们的主要结果揭示了Sasaki-Einstein公制是如何从双CFT中的规范状态出现的，这是由超级符号规程理论定义的，该理论是四维Minkowski Space $ \ Mathbb {r}^{3,1} $在T'HOOFT限制中的级别$ N $倾向于Infine Infinity的限制。我们获得了对Sasaki-Einstein公制的明确有限$ n- $近似值，该公制是根据规范理论方面的规范（即无背景）BPS状态表示的。我们还提供了有关BPS状态的弦理论解释，该解释阐明了先前引人注目的巨型重力二元性。
We consider supergravity in five-dimensional Anti-De Sitter space $AdS_{5}$ with minimal supersymmetry, encoded by a Sasaki-Einstein metric on a five-dimensional compact manifold $M$. Our main result reveals how the Sasaki-Einstein metric emerges from a canonical state in the dual CFT, defined by a superconformal gauge theory in four dimensional Minkowski space $\mathbb{R}^{3,1}$in the t'Hooft limit where the rank $N$ tends to infinity. We obtain explicit finite $N-$approximations to the Sasaki-Einstein metric, expressed in terms of a canonical (i.e. background free) BPS-state on the gauge theory side. We also provide a string theory interpretation of the BPS-state in question, which sheds new light on the previously noted intriguing duality of giant gravitons.
