Three-point functions in the SU(2) sector at strong coupling
Three-point functions in the SU(2) sector at strong coupling
复制标题
强耦合下 SU(2) 扇区中的三点函数
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Komatsu
中科院分区：
文献类型：
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作者：
Y. Kazama;S. Komatsu
本文推广了我们以前的工作（arXiv：1110.3949，arXiv：1205.6060），计算了四维$ mathcal{N} $ = 4 super-Yang-米尔斯理论中SU（2）扇区复合算符对应的大量子数非BPS态强耦合下的三点函数。这是通过在AdS 3 × S3时空中对对偶弦理论中的三点函数的半经典计算来实现的，使用一般的一次切割有限能隙解作为外部态。尽管在中间阶段的各个部分的贡献的复杂性，三点函数的最终答案采取了一个非常简单的形式，表现出的结构让人想起在弱耦合。特别是，在Frolov-Tseytlin极限中，结果用明显相似的积分表示，但是具有不同的积分轮廓。我们讨论了一个自然的机制，在世界面上引入额外的奇点，而不影响无穷多的守恒电荷，这可以修改积分的轮廓。
A bstractExtending the methods developed in our previous works (arXiv:1110.3949, arXiv:1205.6060), we compute the three-point functions at strong coupling of the non-BPS states with large quantum numbers corresponding to the composite operators belonging to the so-called SU(2) sector in the $ mathcal{N} $ = 4 super-Yang-Mills theory in four dimensions. This is achieved by the semi-classical evaluation of the three-point functions in the dual string theory in the AdS3× S3 spacetime, using the general one-cut finite gap solutions as the external states. In spite of the complexity of the contributions from various parts in the intermediate stages, the final answer for the three-point function takes a remarkably simple form, exhibiting the structure reminiscent of the one obtained at weak coupling. In particular, in the Frolov-Tseytlin limit the result is expressed in terms of markedly similar integrals, however with different contours of integration. We discuss a natural mechanism for introducing additional singularities on the worldsheet without affecting the infinite number of conserved charges, which can modify the contours of integration.