Asymptotic Bethe equations for open boundaries in planar AdS/CFT
Asymptotic Bethe equations for open boundaries in planar AdS/CFT
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DOI：
10.1088/1751-8113/43/14/145401
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发表时间：
2009-12
期刊：
影响因子：
--
通讯作者：
Diego H. Correa;Charles A. S. Young
中科院分区：
文献类型：
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作者：
Diego H. Correa;Charles A. S. Young
利用嵌套坐标系Bethe变换，求解了描述在AdS 5 × S5中传播的、携带大角动量J = J56的自由开弦的激发态的开边界散射理论，最终得到一个角动量在同一平面上的极大巨引力子.因此，我们得到了全圈贝特方程，它描述了这样的弦的能量谱，对于J，有限但很大，或者等价地，在AdS/CFT对应的规范侧，用SU（N）的张量建立的某些算子的反常维数。我们还给出了终止于探测D 7-膜上的弦的Bethe方程，对应于具有基本物质的规范理论中的类介子算子。
We solve, by means of a nested coordinate Bethe ansatz, the open-boundaries scattering theory describing the excitations of a free open string propagating in AdS5 × S5, carrying large angular momentum J = J56, and ending on a maximal giant graviton whose angular momentum is in the same plane. We thus obtain the all-loop Bethe equations describing the spectrum, for J, finite but large, of the energies of such strings, or equivalently, on the gauge side of the AdS/CFT correspondence, the anomalous dimensions of certain operators built using the ϵ tensor of SU(N). We also give the Bethe equations for strings ending on a probe D7-brane, corresponding to meson-like operators in an gauge theory with fundamental matter.