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arXiv 1105.4596hep-th
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巨洞的散射

Scattering of Giant Holes

Nick Dorey, Peng Zhao

摘要:

研究了N=4超杨-米尔斯理论中高自旋算符的标量激发,它与AdS_3 × S^1中长折叠弦上的孤子传播是对偶的。在规范理论的自旋链描述中,这些与sl(2,R)扇区中磁振子分布中的空穴有关。从渐近Bethe矩阵出发,计算了全圈空穴S矩阵,并在弱耦合和强耦合下进行了超前阶展开。用半经典量子化方法计算了GKP弦上孤子激发的世界表S矩阵。我们发现规范理论和弦论的结果之间的一个精确的协议。

英文摘要:

We study scalar excitations of high spin operators in N=4 super Yang-Mills theory, which are dual to solitons propagating on a long folded string in AdS_3 x S^1. In the spin chain description of the gauge theory, these are associated to holes in the magnon distribution in the sl(2,R) sector. We compute the all-loop hole S-matrix from the asymptotic Bethe ansatz, and expand in leading orders at weak and strong coupling. The worldsheet S-matrix of solitonic excitations on the GKP string is calculated using semiclassical quantization. We find an exact agreement between the gauge theory and string theory results.

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