论文标题
在LLM几何形状上开放巨头
Open giant magnons on LLM geometries
论文作者
论文摘要
我们计算Sigma模型解决方案，以固定旋转的旋转弦线悬挂在一般LLM几何形状中的巨型重力群之间。这些解决方案仅限于LLM平面。这些都具有$δ-J $的分散关系，这与中央扩展自旋链的BPS结合的饱和度是一致的。对于循环对称LLM几何形状的特殊情况，我们可以进一步评估这些字符串带来的角动量$ j $的量。此数量的差异对于试图在LLM平面中不同“着色区域”之间移动的字符串配置有所不同。所有这些数量在T'Hooft耦合中具有扰动的扩展。对于悬挂在广告巨头之间的弦乐，我们可以在野外理论中计算弦乐（2）$结果的分析延续，借助伯特·安萨兹（Bethe Ansatz）的$ SL（2）$ sector，该弦乐的主要结果。因此，我们提供了有关$ ADS $的径向方向的其他信息。
We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for $Δ-J$ that is consistent with saturation of a BPS bound of the centrally extended spin chain. For the special case of circularly symmetric LLM geometries, we can further evaluate the amount of angular momentum $J$ carried by these strings. This quantity diverges for string configurations that try to move between different "coloring regions" in the LLM plane. All of these quantities have a perturbative expansion in the t'Hooft coupling. For the strings suspended between AdS giants, we can compute in field theory the leading result of $J$ carried by the string via an analytic continuation of the $SU(2)$ result, with the help of the Bethe Ansatz for the $SL(2)$ sector. We thus provide additional information on how the radial direction of $AdS$ arises from (open) spin chain calculations.
