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.

The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure

“…Since [29] reproduces the correct classical r-matrix on the fundamental representation, it would be interesting to find out if their proposal and ours are equivalent. For instance, one might compare the two when acting on bound states [52][53][54][55]11]. Whether or not they are equivalent, we believe that our approach is more suitable to find the quantisation of the bialgebra to a double Yangian Hopf algebra.…”

Integrability of the ${\rm Ad}{{{\rm S}}_{5}}\times {{{\rm S}}^{5}}$ superstring and its deformations

“…The winding number appears here since the fermions in the light-cone gauge have periodicity ψ(τ, 2π) = (−1) m ψ(τ, 0) due to a field redefinition [31]. The light cone superstring also has bound state excitations that can be analyzed as we did for the XXX spin chain in chapter 2 [106,107], and just like for the XXX spin chain there can be bound states with any number of constituents, or in other words bound states of any length. The resulting Q-particle bound states correspond to poles in the scalar factor S su (2) where the momenta of pairs of particles satisfy 6…”

Foundations of the AdS5× S5superstring: I

“…The dressing factor can be computed by using the fusion procedure for the su(2) sector S-matrix [39,40], and appears to be of the same universal form as the one for the elementary particles S-matrix [18]. As to the matrix structure, it can be found by using the superfield approach by [41].…”