Noether and topological currents equivalence and soliton/particle correspondence in affine $sl(2)^{(1)}$ Toda theory coupled to matter

Details Noether and topological currents equivalence and soliton/particle correspondence in affine $sl(2)^{(1)}$ Toda theory coupled to matter Noether and topological currents equivalence and soliton/particle correspondence in affine $sl(2)^{(1)}$ Toda theory coupled to matter

2000-11-27

arxiv.org/abs/hep-th/0011243v1

Nucl.Phys. B596 (2001) 471-478

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 8 pages, no figures, to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00734-3

A submodel of the so-called conformal affine Toda model coupled to the matter field (CATM) is defined such that its real Lagrangian has a positive-definite kinetic term for the Toda field and a usual kinetic term for the (Dirac) spinor field. After spontaneously broken the conformal symmetry by means of BRST analysis, we end up with an effective theory, the off-critical affine Toda model coupled to the matter (ATM). It is shown that the ATM model inherits the remarkable properties of the general CATM model such as the soliton solutions, the particle/soliton correspondence and the equivacence between the Noether and topological currents. The classical solitonic spectrum of the ATM model is also discussed.

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