关于大自旋算子的注记
Comments on operators with large spin
摘要：
我们考虑高自旋算子。我们给出了一个一般的参数的对数标度的异常尺寸是基于对称性的问题。通过解析延拓，我们还可以看到苏达科夫因子中双对数发散的起源。我们证明了尖点反常维数是$AdS_3 \times S^1$上规范理论的通量位形的能量密度。然后，我们集中在${\cal N}=4$超级杨米尔斯携带大自旋和SO（6）电荷的运营商，并表明在特定的限制下，他们的性质描述的玻色子O（6）西格玛模型。这可以用来确定弦论中的所有循环计算。
英文摘要：
We consider high spin operators. We give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem. By an analytic continuation we can also see the origin of the double logarithmic divergence in the Sudakov factor. We show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on $AdS_3 \times S^1$. We then focus on operators in ${\cal N}=4$ super Yang Mills which carry large spin and SO(6) charge and show that in a particular limit their properties are described in terms of a bosonic O(6) sigma model. This can be used to make certain all loop computations in the string theory.
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