Reflecting magnons from D7 and D5 branes

Reflecting magnons from D7 and D5 branes
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DOI:
10.1088/1751-8113/41/45/455401
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发表时间:
2008-08
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
D. Correa;C. Young
D. Correa;C. Young
中科院分区:
其他
文献类型:
--
作者:
D. Correa;C. Young

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我们得到了AdS5 × S5中结束于D7和D5膜上的开放弦在一定开放边界上的基本磁振子散射的反射矩阵。在每种情况下,我们考虑真空态的两种可能的方向。我们证明了对称参数足以确定最多两个未知函数的反射矩阵。D7反射矩阵服从边界Yang-Baxter方程。对于一个真空方向,这是自动的,而对于另一个真空方向,则需要在两个未知数之间自然选择比率。相反,D5反射矩阵不服从边界Yang-Baxter方程。在这两种情况下,我们都证明了与已有的弱耦合和强耦合结果的一致性。
We obtain the reflection matrices for the scattering of elementary magnons from certain open boundaries, corresponding to open strings ending on D7 and D5 branes in AdS5 × S5. In each case we consider two possible orientations for the vacuum state. We show that symmetry arguments are sufficient to determine the reflection matrices up to at most two unknown functions. The D7 reflection matrices obey the boundary Yang–Baxter equation. This is automatic for one vacuum orientation, and requires a natural choice of ratio between two unknowns for the other. In contrast, the D5 reflection matrices do not obey the boundary Yang–Baxter equation. In both cases we show consistency with the existent weak and strong coupling results.