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Vertex operators and soliton solutions of affine Toda model with U(2) symmetry

I Cabrera-Carnero, J F Gomes, G M Sotkov and A H Zimerman

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The symmetry structure of the non-Abelian affine Toda model based on the coset SL(3)/SL(2) otimes U(1) is studied. It is shown that the model possess non-Abelian Noether symmetry closing into a q-deformed SL(2) otimes U(1) algebra. Specific two-vertex soliton solutions are constructed.


PACS

11.10.Lm Nonlinear or nonlocal theories and models

11.15.-q Gauge field theories

02.10.-v Logic, set theory, and algebra

11.25.Hf Conformal field theory, algebraic structures

11.30.Ly Other internal and higher symmetries

02.30.Tb Operator theory

MSC

17B69 Vertex operators; vertex operator algebras and related structures

81T40 Two-dimensional field theories, conformal field theories, etc.

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 24 (18 June 2004)

Received 5 March 2004, in final form 27 April 2004

Published 2 June 2004



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