arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1002.0018hep-th
收藏

光锥规范AdS_5 × S^5超弦的广义标度函数

Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring

S. Giombi, R. Ricci, R. Roiban, A. A. Tseytlin, C. Vergu

摘要:

我们重新计算了AdS_5中的折叠自旋弦的能量的双圈修正,角动量J在S^5中,在标度极限log S中,J >>1,J / log S固定。这种修正给出了广义标度函数强耦合展开式中的第三项。计算采用了我们在前一篇文章中发展的AdS光锥规范方法,通过在与自旋弦解相关的广义零尖世界表面附近展开AdS_5 × S^5超弦配分函数来完成。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)。这就提供了贝特的无量纲假设与量子AdS_5 × S^5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包括了hep-th/0009171的AdS光锥规范超弦作用量中的所有结构,从而检验了它的紫外有限性,并通过与Bethe近似的一致性,检验了它的量子可积性。我们对广义自旋弦解或相应的零尖点曲面进行了大部分计算,这些零尖点曲面既包含轨道动量,又包含在一个S ^[5]的大圈中的缠绕。

英文摘要:

We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS_5 with an angular momentum J in S^5 in the scaling limit log S, J >>1 with J / log S 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 AdS_5 x S^5 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 AdS_5 x S^5 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 S^5.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑