The S-matrix of String Bound States

Abstract

We find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra on the space of homogeneous (super)symmetric polynomials of degree M depending on two bosonic and two fermionic variables. The scattering matrix S^{MN} of M- and N-particle bound states is a differential operator of degree M+N acting on the product of the corresponding polynomials. We require this operator to obey the invariance condition and the Yang-Baxter equation, and we determine it for the two cases M=1,N=2 and M=N=2. We show that the S-matrices found satisfy generalized physical unitarity, CPT invariance, parity transformation rule and crossing symmetry. Although the dressing factor as a function of four parameters x_1^+,x_1^-,x_2^+,x_2^- is universal for scattering of any bound states, it obeys a crossing symmetry equation which depends on M and N.

65 pages, 2 figures, Latex

References in corpus (12)

• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Wrapping interactions at strong coupling -- the giant magnon
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Classical r-matrix of the su(2|2) SYM spin-chain
• Interacting finite-size magnons
• Coordinate Bethe Ansatz for the String S-Matrix
• Fusion hierarchies for N = 4 superYang-Mills theory

Cited by in corpus (1)

• Finite-Size Effects for Dyonic Giant Magnons