The Bullough-Dodd model coupled to matter fields
arXiv:0708.1342 · doi:10.1016/j.nuclphysb.2008.01.004
Abstract
The Bullough-Dodd model is an important two dimensional integrable field theory which finds applications in physics and geometry. We consider a conformally invariant extension of it, and study its integrability properties using a zero curvature condition based on the twisted Kac-Moody algebra A_2^{(2)}. The one and two-soliton solutions as well as the breathers are constructed explicitly . We also consider integrable extensions of the Bullough-Dodd model by the introduction of spinor (matter) fields. The resulting theories are conformally invariant and present local internal symmetries. All the one-soliton solutions, for two examples of those models, are constructed using an hybrid of the dressing and Hirota methods. One model is of particular interest because it presents a confinement mechanism for a given conserved charge inside the solitons.
48 pages, 3 eps figures, latex
References in corpus (16)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- A Strong Coupling Test of S-Duality
- Dressing Symmetries
- Hirota's Solitons in the Affine and the Conformal Affine Toda Models
- Affine Toda Systems Coupled to Matter Fields
- Affine Solitons: A Relation Between Tau Functions, Dressing and Bäcklund Transformations
- Tau-functions and Dressing Transformations for Zero-Curvature Affine Integrable Equations
- On a Solitonic Specialisation for the General Solutions of Some Two-Dimensional Completely Integrable Systems
- Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution
- Confinement, solitons and the equivalence between the sine-Gordon and massive Thirring models
- Noether and topological currents equivalence and soliton/particle correspondence in affine Toda theory coupled to matter
- Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields
- Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model
- Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences
- Tzitzéica transformation is a dressing action
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- The rational dressing for abelian twisted loop Toda systems
- Abelian Toda solitons revisited
- Generalized Backlund transformations for Affine Toda Hierarchies
- Tzitzeica solitons vs. relativistic Calogero-Moser 3-body clusters
- Some Wadati-Konno-Ichikawa type integrable systems and their constructions
- Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model
- Moduli spaces for PT-regularized solitons
- Twisted Affine Integrable Hierarchies and Soliton Solutions
- Solving non-abelian loop Toda equations
- Quasi-Integrable Deformations of the Bullough-Dodd model