反射磁振子
Reflecting magnons
摘要：
研究了$AdS_5 \times S^5$中D-膜上弦的世界表反射矩阵。D-膜对应于一个极大巨引力子，它将一个$S^3$包裹在$S^5$内部。在规范理论中，开弦被描述为一个有边界的自旋链。我们研究一个带有大SO（6）荷的开弦，这使得我们可以一次只关注一个边界，并定义一个渐近边界反射矩阵。我们考虑了两种情况，对应于巨引力子和开弦电荷的两种可能的相对取向。利用问题的对称性，我们计算边界反射矩阵到一个阶段。这些矩阵服从边界杨巴克斯特方程。一个交叉方程推导出的整体阶段。我们进行弱耦合计算两个循环，并获得的结果是一致的可积性。最后，我们使用经典的解决方案，确定在强耦合的相位因子。
英文摘要：
We study the worldsheet reflection matrix of a string attached to a D-brane in $AdS_5 \times S^5$. The D-brane corresponds to a maximal giant graviton and it wraps an $S^3$ inside $S^5$. In the gauge theory, the open string is described by a spin chain with boundaries. We study an open string with a large SO(6) charge, which allows us to focus on one boundary at a time and to define an asymptotic boundary reflection matrix. We consider two cases corresponding to two possible relative orientations for the charges of the giant graviton and the open string. Using the symmetries of the problem we compute the boundary reflection matrix up to a phase. These matrices obey the boundary Yang Baxter equation. A crossing equation is derived for the overall phase. We perform weak coupling computations up to two loops and obtain results that are consistent with integrability. Finally, we determine the phase factor at strong coupling using classical solutions.
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