Reflecting magnons from D7 and D5 branes

Details Reflecting magnons from D7 and D5 branes Reflecting magnons from D7 and D5 branes

2008-08-04

arxiv.org/abs/0808.0452v3

J.Phys.A41:455401,2008

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 1 figure; v2: added references and minor changes; v3: error in boundary Yang-Baxter equation for D5 reflection matri

Scientific paper

10.1088/1751-8113/41/45/455401

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 $AdS_5\times S^5$. 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.

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