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.

14 pages

References in corpus (9)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Multispin Giant Magnons
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory

Cited by in corpus (11)

• On the Singularities of the Magnon S-matrix
• 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
• Gauge invariant finite size spectrum of the giant magnon
• Strong coupling limit of Bethe Ansatz equations
• Finite-Size Effects for Dyonic Giant Magnons
• Classical r-matrix of the su(2|2) SYM spin-chain
• Yangians, S-matrices and AdS/CFT
• New Dressing Factors for AdS3/CFT2
• Issues on magnon reflection