arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2207.01293hep-th
收藏

来自无张力弦的经典几何

Classical geometry from the tensionless string

Bob Knighton

AI总结:

该研究探索大缠绕数极限下$\text{AdS}_3$背景中的无张力弦理论,证明弦可探测体几何、关联函数对应最小面积世界面,并建立其与类扭子自由场描述及带缺陷JT引力的Schwarzian理论的联系。

摘要:

本文研究了$\text{AdS}_3\times\text{S}^3\times\mathcal{M}$上的无张力弦理论,考察弦在渐近边界上缠绕次数极多的极限情形。尽管通常认为世界面局域在$\text{AdS}$边界上,我们提出在此极限下弦实际上可以探测体几何。具体而言,我们证明关联函数可以用在$\text{AdS}_3$中传播的最小面积世界面来表示。随后我们将弦的经典运动与无张力世界面理论的类扭子自由场描述联系起来。最后,我们考虑将$\text{AdS}_3$特定维数约化到$\text{AdS}_2$的情形,证明世界面的有效作用量在形式上类似于带锥形缺陷的JT引力的一维Schwarzian理论。

英文摘要:

Tensionless string theory on $\text{AdS}_3\times\text{S}^3\times\mathcal{M}$ is explored in the limit that the strings wind the asymptotic boundary a large number of times. Although the worldsheet is usually thought to be localised to the $\text{AdS}$ boundary, we argue that the string can actually probe the bulk geometry in this limit. In particular, we show that correlation functions can be expressed in terms of a minimal-area worldsheet propagating in $\text{AdS}_3$. We then relate the classical motion of the string to the twistor-like free field description of the tensionless worldsheet theory. Finally, we consider a particular dimensional reduction of $\text{AdS}_3$ to $\text{AdS}_2$, and show that the effective action of the worldsheet formally resembles the one-dimensional Schwarzian theory of JT gravity with conical defects.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑