关于AdS4 x CP3中尺度函数的讨论
Comment on the Scaling Function in AdS4 x CP3
摘要：
AdS 3中的折叠旋转弦给了我们一个重要的洞察AdS/CFT对偶。最近，McLoughlin和Roiban arXiv：0807.3965，Alday，Arutyphin和Bykov arXiv：0807.4400和Krishnan arXiv：0807.4561在AdS 4/CFT 3的背景下分析了它的单回路能量。他们计算了经典解周围的波动谱。在本文中，我们重现他们的结果，使用代数曲线技术，并表明，在一些自然的波动能量的重新计算的单圈能量完全符合arXiv：0807.0777的预测。这进一步支持了arXiv：0807.0437中开发的全回路贝特方程和AdS 4xCP 3代数曲线。
英文摘要：
The folded spinning string in AdS3 gives us an important insight into AdS/CFT duality. Recently its one-loop energy was analyzed in the context of AdS4/CFT3 by McLoughlin and Roiban arXiv:0807.3965, by Alday, Arutyunov and Bykov arXiv:0807.4400 and by Krishnan arXiv:0807.4561. They computed the spectrum of the fluctuations around the classical solution. In this paper we reproduce their results using the algebraic curve technique and show that under some natural resummation of the fluctuation energies the one-loop energy agrees perfectly with the predictions of arXiv:0807.0777. This provides a further support of the all-loop Bethe equations and of the AdS4xCP3 algebraic curve developed in arXiv:0807.0437.
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