Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry

Abstract

Using U_q(a_n^(1))- and U_q(a_2n^(2))-invariant R-matrices we construct exact S-matrices in two-dimensional space-time. These are conjectured to describe the scattering of solitons in affine Toda field theories. In order to find the spectrum of soliton bound states we examine the pole structure of these S-matrices in detail. We also construct the S-matrices for all scattering processes involving scalar bound states. In the last part of this paper we discuss the connection of these S-matrices with minimal N=1 and N=2 supersymmetric S-matrices. In particular we comment on the folding from N=2 to N=1 theories.

41 pages, plain Latex

References in corpus (1)

• The R-matrix of the U_q(d_4(3)) algebra and g_2(1) affine Toda field theory

Cited by in corpus (12)

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• Integrable quantum field theories with OSP(m/2n) symmetries
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• Particle Reflection Amplitudes in a_n^(1) Toda Field Theories
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Soliton S matrices for the critical A_{N-1}^(1) chain
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Supersymmetric integrable scattering theories with unstable particles
• The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra