Soliton S matrices for the critical A_{N-1}^(1) chain

Abstract

We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A_{N-1}^(1) quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A_{N-1}^(1) Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.

12 pages, LaTeX; v2. contains ``Note Added'' and 1 more reference

References in corpus (5)

• Bulk and Boundary S Matrices for the SU(N) Chain
• Duality and quantum-algebra symmetry of the A_{N-1}^(1) open spin chain with diagonal boundary fields
• On a_2^(1) Reflection Matrices and Affine Toda Theories
• Soliton-preserving boundary condition in affine Toda field theories
• Boundary S-matrix for the Gross-Neveu Model

Cited by in corpus (11)

• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• Quantum spin chain with "soliton non-preserving" boundary conditions
• On the scattering over the GKP vacuum
• Thermodynamics of the Complex su(3) Toda Theory
• The XXX spin s quantum chain and the alternating $s^1$, $s^2$ chain with boundaries
• Transmission amplitudes from Bethe ansatz equations
• Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains
• The critical $A_{n-1}^{(1)}$ chain
• q-deformed Supersymmetric t-J Model with a Boundary
• Generic boundary scattering in the open XXZ chain
• Scattering matrix for a general gl(2) spin chain