论文标题
广告中的引力旋转字符串$ _3 $
Gravitating spinning strings in AdS$_3$
论文作者
论文摘要
在广告/CFT对应关系中，可以通过经典旋转字符串来描述大型旋转$ j $的大型$ n $仪表理论的单个跟踪操作员，从而在强耦合时对其光谱进行了几何和经典描述。我们观察到，在ADS $ _3 $中，这些字符串在足够大的自旋旋转时具有明显的重力后反应，因为重力不会长时间衰减。我们为折叠的旋转字符串构建解决方案，并在ADS $ _3 $中耦合到重力并计算它们的频谱，对应于Virasroro主操作员的领先雷格轨迹。这些解决方案仅在最大旋转$ j <j_ \ mathrm {max} $下方存在，而作为$ j \ to j_ \ mathrm {max} $该解决方案接近极端旋转的BTZ黑洞。
In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We observe that in AdS$_3$ these strings have significant gravitational back-reaction at sufficiently large spin, since the gravitational force does not decay at long distances. We construct solutions for folded spinning strings coupled to gravity in AdS$_3$ and compute their spectrum, corresponding to the leading Regge trajectory of Virasroro primary operators. These solutions exist only below a maximal spin $J<J_\mathrm{max}$, and as $J\to J_\mathrm{max}$ the solution approaches an extremal rotating BTZ black hole.
