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

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

1997-02-27

arxiv.org/abs/hep-th/9702196v2

Nucl.Phys. B501 (1997) 711-727

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(97)80612-8

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.

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