Reflecting magnons from D7 and D5 branes

Abstract

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 $Ad{S}_5\times S^5$. 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.

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

References in corpus (10)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Comments on the Boundary Scattering Phase
• Reflecting Magnon Bound States
• The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains
• Issues on magnon reflection

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• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Yangian symmetry and bound states in AdS/CFT boundary scattering
• Yangian symmetry of the Y=0 maximal giant graviton
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• The spectrum of tachyons in AdS/CFT
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Integrable open spin-chains in AdS3/CFT2 correspondences
• String integrability of defect CFT and dynamical reflection matrices
• Secret Symmetries in AdS/CFT
• Circular Wilson loops in defect Conformal Field Theory
• Integrable achiral D5-brane reflections and asymptotic Bethe equations
• Bethe ansatz equations for open spin chains from giant gravitons
• On the reflection of magnon bound states
• Integrable Open Spin Chains from Flavored ABJM Theory
• Zero Modes for the Boundary Giant Magnons
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• The dilatation operator for defect conformal N=4 SYM
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Boundary bound states and integrable Wilson loops in ABJM