Operator product expansion of the lowest weight CPOs in N=4 SYM 4 at strong coupling
Operator product expansion of the lowest weight CPOs in N=4 SYM 4 at strong coupling
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强耦合下 N=4 SYM 4 中最低权重 CPO 的算子乘积展开
DOI：
10.1016/s0550-3213(00)00439-9
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
A. Petkou
中科院分区：
文献类型：
--
作者：
G. Arutyunov;S. Frolov;A. Petkou
本文详细分析了强耦合下N =4 SYM 4中最低权手征准素算子OI_（？）tr（φ（iφj））的四点函数，并证明了它们的结构与AdS/CFT对应的预言是一致的.特别地，四点函数中的所有幂奇异项与来自CPO的共形块、R对称电流和应力张量的贡献完全一致。对偶于弦模的算子在强耦合处解耦。我们分别计算了近似维数为4和5的标量和矢量双迹算子的2点和3点函数的归一化常数的反常维数和前导1/N2修正。我们还发现，某些塔的双迹运营商在105，84和175 irreps的共形尺寸是非重整化。我们表明，尽管没有一个非重正化定理的双迹算子在20 irrep，其异常尺寸消失。作为我们的调查的副产品，我们推导出显式表达式的保形块的应力张量，并为保形分波振幅的守恒电流和应力张量在d维。
We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators OI∼ tr (φ(iφj)) in N =4 SYM4at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all power-singular terms in the 4-point functions exactly coincide with the contributions coming from the conformal blocks of the CPOs, the R -symmetry current and the stress tensor. Operators dual to string modes decouple at strong coupling. We compute the anomalous dimensions and the leading 1/N2corrections to the normalization constants of the 2- and 3-point functions of scalar and vector double-trace operators with approximate dimensions 4 and 5, respectively. We also find that the conformal dimensions of certain towers of double-trace operators in the 105 , 84 and 175 irreps are non-renormalized. We show that, despite the absence of a non-renormalization theorem for the double-trace operator in the 20 irrep, its anomalous dimension vanishes. As by-products of our investigation, we derive explicit expressions for the conformal block of the stress tensor, and for the conformal partial wave amplitudes of a conserved current and of a stress tensor in d dimensions.