Generalized scaling function from light-cone gauge AdS5 × S5 superstring
Generalized scaling function from light-cone gauge AdS5 × S5 superstring
复制标题
光锥规 AdS5 × S5 超弦的广义缩放函数
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
C. Vergu
中科院分区：
文献类型：
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作者：
S. Giombi;R. Ricci;R. Roiban;A. Tseytlin;C. Vergu
我们重新计算了AdS 5中的折叠自旋弦的能量的2圈修正，其中S5中的角动量J在标度极限ln S = 1，$ \frac{J}{{\sqrt {\lambda } \ln S}} = {\text{fixed}} $。这种修正给出了广义标度函数强耦合展开式中的第三项。计算采用了AdS光锥规范方法，在与自旋弦解相关的广义零尖世界面附近展开AdS 5 × S5超弦配分函数。这个结果修正和扩展了先前的共形规范结果arXiv：0712.2479，并且发现与从arXiv：0805.4615中的渐近Bethe近似中得到的广义标度函数中的相应项完全一致（也部分地从量子O（6）模型和arXiv：0809.4952中的Bethe近似数据中得到）。这就提供了贝特假设与量子AdS 5 × S5超弦理论的高度非平凡的强耦合比较，后者超越了由基本代数曲线有效控制的主导半经典项。我们进行的双圈计算涉及到hep-th/0009171的AdS光锥规范超弦作用量中的所有结构，从而测试了它的紫外有限性，并通过与Bethe近似的一致性，测试了它的量子可积性。我们做的大部分计算的广义自旋弦的解决方案或相应的零尖面，涉及轨道动量和缠绕在一个大的圆S5。
We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS5 with an angular momentum J in S5 in the scaling limit ln S ≫ 1, $ \frac{J}{{\sqrt {\lambda } \ln S}} = {\text{fixed}} $. This correction gives the third term in the strong-coupling expansion of the generalized scaling function. The computation, using the AdS light-cone gauge approach developed in our previous paper, is done by expanding the AdS5 × S5 superstring partition function near the generalized null cusp world surface associated to the spinning string solution. The result corrects and extends the previous conformal gauge result of arXiv:0712.2479 and is found to be in complete agreement with the corresponding terms in the generalized scaling function as obtained from the asymptotic Bethe ansatz in arXiv:0805.4615 (and also partially from the quantum O(6) model and the Bethe ansatz data in arXiv:0809.4952). This provides a highly nontrivial strong coupling comparison of the Bethe ansatz proposal with the quantum AdS5 × S5 superstring theory, which goes beyond the leading semiclassical term effectively controlled by the underlying algebraic curve. The 2-loop computation we perform involves all the structures in the AdS light-cone gauge superstring action of hep-th/0009171 and thus tests its ultraviolet finiteness and, through the agreement with the Bethe ansatz, its quantum integrability. We do most of the computations for a generalized spinning string solution or the corresponding null cusp surface that involves both the orbital momentum and the winding in a large circle of S5.