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arXiv 0809.0295hep-th
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AdS_3中缠绕字符串的关联函数

Correlation Functions of Winding Strings in AdS_3

Pablo Minces

摘要:

我们回顾了AdS_3上弦论谱流算子振幅的某些结果。本文给出了含w=1算子的算子所满足的修正Knizhnik-Zamolodchikov方程和零向量方程。然后讨论了x基上两个w=1和一个w=0算子的三点函数,并对w=1算子的定义进行了一致性检验.最后,我们展示的步骤中的绕组保存四个点函数的操作员在任意的频谱流部门,无论是在m-和x-的基础上,唯一的假设下,至少有一个操作员是在频谱流图像的最高权离散表示。

英文摘要:

We review certain results for amplitudes of spectral flowed operators in string theory on AdS_3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w=1 operators. We then discuss the three point function of two w=1 and one w=0 operators in the x-basis, and perform a consistency check on the definition of the w=1 operator. We finally exhibit the steps in the calculation of the winding conserving four point functions for operators in arbitrary spectral flowed sectors, both in the m- and x-basis, under the only assumption that at least one of the operators is in the spectral flowed image of the highest weight discrete representation.

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