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arXiv · hep-th/9702196

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

Gabor Takacs
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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.

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Gabor Takacs. 1997-03-02. The R-matrix of the U_q(d_4(3)) algebra and g_2(1) affine Toda field theory. https://doi.org/10.1016/s0550-3213(97)80612-8

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