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arXiv 1010.6074hep-th
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计算AdS/CFT中的1/N^2修正

Computing 1/N^2 corrections in AdS/CFT

James T. Liu, Ruben Minasian

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摘要：

AdS/CFT中的弦修正一般属于α'效应或弦环效应的范畴，分别对应于对偶场论中的1/λ和1/N修正。虽然我们已经对N^3R^4修正进行了很好的研究，至少在N=4的超杨-米尔斯的情况下是这样，但是我们对闭合弦环产生的1/N^2修正却知之甚少。本文考虑IIB弦的AdS_5 × SE_5紧化，计算了对偶场论中反常系数a和c的闭弦圈修正。对于T^{1，1}约化，我们发现弦环校正产生c-a=1/24，这是自由N=2超多重态对c-a的贡献。我们还评论减少低维AdS理论以及T-对偶的性质与较高的衍生物。

英文摘要：

Stringy corrections in AdS/CFT generally fall into the category of either α' effects or string loop effects, corresponding to 1/λand 1/N corrections, respectively, in the dual field theory. While α'^3R^4 corrections have been well studied, at least in the context of N=4 super-Yang-Mills, less is known about the 1/N^2 corrections arising from closed string loops. In this paper, we consider AdS_5 x SE_5 compactifications of the IIB string, and compute the closed string loop correction to the anomaly coefficients a and c in the dual field theory. For T^{1,1} reductions, we find the string loop correction to yield c-a=1/24, which is the contribution to c-a of a free N=2 hypermultiplet. We also comment on reductions to lower dimensional AdS theories as well as the nature of T-duality with higher derivatives.

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