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

Abstract

The R-matrix of the U_q(d_4(3)) algebra is constructed in the 8-dimensional fundamental representation. Using this result an exact S-matrix is conjectured for the imaginary coupled g_2(1) affine Toda field theory, the structure of which is found to be very similar to the previously investigated S-matrix of d_4(3) Toda theory. 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|12) perturbations of WA_2 minimal models.

18 pages, LaTeX file. Some comments added, typos and mistakes in the references are corrected. Problems with Postscript generation are fixed

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Cited by in corpus (3)

• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories
• Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry