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arXiv 1106.0495hep-th
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AdS_5 × S^5中三点函数的光锥方法

A light-cone approach to three-point functions in AdS_5 x S^5

Thomas Klose, Tristan McLoughlin

备注：
42 pages, 2 figures; v2: typos corrected, references added; v3: significant changes in section 7, in particular corrected saddle point for three-point function
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摘要：

我们考虑了AdS_5 × S^5中弦的世界片关联函数，并使用光锥规范作为世界片理论。我们计算的鞍点近似三点函数的BMN顶点运营商，所有大的费用，明确找到三个欧几里得BMN字符串的交集。我们对沿着S^5的一个大圆延伸的非BPS圆缠绕弦重复这个计算，尽管在这种情况下顶点算子的适当形式是不确定的。此外，我们计算了一般边界条件下欧几里得BMN弦的波动谱，并表明该谱仅取决于总电荷而不是弦配置的细节。我们扩展我们的考虑，包括近BMN顶点运营商，并通过评估的字符串路径积分接触的光锥弦场论计算的规范理论三点结构常数。

英文摘要：

We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges, by explicitly finding the intersection of three euclidean BMN strings. We repeat this calculation for non-BPS circular winding strings extended along a great circle of the S^5, though in this case the appropriate form of the vertex operator is uncertain. Furthermore, we compute the spectrum of fluctuations about euclidean BMN strings for generic boundary conditions, and show that the spectrum depends only on the total charge and not the details of the string configuration. We extend our considerations to include near-BMN vertex operators and through the evaluation of the string path integral make contact with the light-cone string field theory calculations of gauge theory three-point structure constants.

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