Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory

TL;DR

This paper proposes an exact S-matrix for the imaginary coupled d_4(3) affine Toda field theory based on quantum affine symmetry, connecting it to minimal models and validating with real coupling results.

Contribution

It introduces a conjectured exact S-matrix for the imaginary coupled d_4(3) affine Toda theory using quantum affine symmetry, and explores its relation to minimal models.

Findings

S-matrix consistent with real coupling breather-particle correspondence

Restriction to Phi(11|14) perturbations of WA_2 minimal models at roots of unity

Validation of the S-matrix through symmetry and perturbation analysis

Abstract

An exact S-matrix is conjectured for the imaginary coupled d_4(3) affine Toda field theory, using the U_q(g_2(1)) symmetry. It is shown that this S-matrix is consistent with the results for the case of real coupling using the breather-particle correspondence. For q a root of unity it is argued that the theory can be restricted to yield Phi(11|14) perturbations of WA_2 minimal models and the restriction is performed for the (3,p') minimal models.