Reflecting magnons from D7 and D5 branes

DIEGO H. CORREA; CHARLES A. S. YOUNG

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

Institute of Physics

Lugar: Bristol, Reino Unido; Año: 2008 vol. 41 p. 45540101 - 45540124

0305-4470

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.