On the Scattering of Magnon Boundstates

Abstract

We study the scattering of magnon boundstates in the spin-chain description of planar N=4 SUSY Yang-Mills. Starting from the conjectured exact S-matrix for magnons in the SU(2) sector, we calculate the corresponding S-matrix for boundstates with an arbitrary number of constituent magnons. The resulting expression has an interesting analytic structure with both simple and double poles. We also calculate the semiclassical S-matrix for the scattering of the corresponding excitations on the string worldsheet known as Dyonic Giant Magnons. We find precise agreement with the magnon boundstate S-matrix in the limit of large 't Hooft coupling.

arXiv comment14 pages

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Cited by in corpus (22)

• On the Singularities of the Magnon S-matrix
• Five loop Konishi from AdS/CFT
• The S-matrix of String Bound States
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Single spike solutions for strings on S2 and S3
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Strong coupling limit of Bethe Ansatz equations
• Gauge invariant finite size spectrum of the giant magnon
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Finite-Size Effects for Dyonic Giant Magnons
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Hexagonalization of Correlation Functions II: Two-Particle Contributions
• Classical r-matrix of the su(2|2) SYM spin-chain
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Yangians, S-matrices and AdS/CFT
• New Dressing Factors for AdS3/CFT2
• A Relativistic Relative of the Magnon S-Matrix
• The Bound State S-matrix of the Deformed Hubbard Chain
• Issues on magnon reflection
• On the reflection of magnon bound states
• Spiky Strings on NS5-branes
• Review of AdS/CFT Integrability, Chapter III.2: Exact world-sheet S-matrix