Nonrelativistic strings and limits of the AdS/CFT correspondence
Nonrelativistic strings and limits of the AdS/CFT correspondence
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非相对论弦和 AdS/CFT 对应关系的限制
DOI：
10.1103/physrevd.96.086019
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发表时间：
2017
影响因子：
5
通讯作者：
N. Obers
中科院分区：
文献类型：
--
作者：
T. Harmark;J. Hartong;N. Obers
利用Polyakov作用量的目标空间零约化，我们发现了一个新的协变作用量的字符串运动在扭转牛顿-Cartan几何。在重新标度牛顿-嘉当钟1-形式的同时，将弦的张力变为零，以保持弦的作用量是有限的，我们得到一个非相对论性弦在一种新的非洛伦兹几何中运动，我们称之为U（1）-伽利略几何。我们将此应用于AdS 5 ×S5上的弦，我们证明了零张力极限是由AdS/CFT对应的自旋矩阵理论极限实现的。这与AdS/CFT中与可积性有关的自旋链的极限密切相关。最简单的例子给出了朗道-利夫希茨西格玛模型的协变版本。
Using target space null reduction of the Polyakov action, we find a novel covariant action for strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero while rescaling the Newton-Cartan clock 1-form, so as to keep the string action finite, we obtain a nonrelativistic string moving in a new type of non-Lorentzian geometry that we call U(1)-Galilean geometry. We apply this to strings on AdS5×S5 for which we show that the zero tension limit is realized by the spin matrix theory limits of the AdS/CFT correspondence. This is closely related to limits of spin chains studied in connection to integrability in AdS/CFT. The simplest example gives a covariant version of the Landau-Lifshitz sigma-model.