The R-matrix of the Uq(d(3)4) algebra and g(1)2 affine toda field theory

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Abstract

The R-matrix of the Uq(d(3)4) algebra is constructed in the 8-dimensional fundamental representation. Using this result, an exact S-matrix is conjectured for the imaginary coupled g(1)2 affine Toda field theory, the structure of which is found to be very similar to the previously investigated S-matrix of d(3)4 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 Φ(11|12) perturbations of WA2 minimal models.

Original languageEnglish
Pages (from-to)711-727
Number of pages17
JournalNuclear Physics B
Volume501
Issue number3
Publication statusPublished - Sep 22 1997

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algebra
matrices
unity
perturbation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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The R-matrix of the Uq(d(3)4) algebra and g(1)2 affine toda field theory. / Takács, G.

In: Nuclear Physics B, Vol. 501, No. 3, 22.09.1997, p. 711-727.

Research output: Contribution to journalArticle

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