Dyonic Integrable Models

Abstract

A class of non abelian affine Toda models arising from the axial gauged two-loop WZW model is presented. Their zero curvature representation is constructed in terms of a graded Kac-Moody algebra. It is shown that the discrete multivacua structure of the potential together with non abelian nature of the zero grade subalgebra allows soliton solutions with non trivial electric and topological charges. The dressing transformation is employed to explicitly construct one and two soliton solutions and their bound states in terms of the tau functions. A discussion of the classical spectra of such solutions and the time delays are given in detail.

Latex 30 pages, corrected some typos

References in corpus (17)

• Branes And The Dynamics Of QCD
• Quantum Solitons in Affine Toda Field Theories
• Branes and N=2 Theories in Two Dimensions
• Domain Walls in Supersymmetric Yang-Mills Theories
• The Symmetric Space and Homogeneous sine-Gordon Theories
• Quantum scattering of charged solitons in the complex sine-Gordon model
• Hirota's Solitons in the Affine and the Conformal Affine Toda Models
• Tau-functions and Dressing Transformations for Zero-Curvature Affine Integrable Equations
• Solitonic Integrable Perturbations of Parafermionic Theories
• Semi-classical spectrum of the Homogeneous sine-Gordon theories
• Solitons, Tau-functions and Hamiltonian Reduction for Non-Abelian Conformal Affine Toda Theories
• Black Holes from Non-Abelian Toda Theories
• Vertex Operators and Soliton Time Delays in Affine Toda Field Theory
• Massive Symmetric Space sine-Gordon Soliton Theories and Perturbed Conformal Field Theory
• $SU(2,R{)}_q$ Symmetries of Non-Abelian Toda Theories
• On the Breathers of $a_n^{(1)}$ Affine Toda Field Theory
• Solitons from Dressing in an Algebraic Approach to the Constrained KP Hierarchy

Cited by in corpus (13)

• A simple formula for the conserved charges of soliton theories
• Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Higher Grading Conformal Affine Toda Teory and (Generalized) Sine-Gordon/Massive Thirring Duality
• Electrically Charged Topological Solitons
• Soliton Spectrum of Integrable Models with Local Symmetries
• Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models
• T-Duality in 2-D Integrable Models
• Multicharged Dyonic Integrable Models
• Bicomplexes and Conservation Laws in Non-Abelian Toda Models
• Vertex Operators and Soliton Solutions of Affine Toda Model with U(2) Symmetry
• Solitons with Isospin
• Solving non-abelian loop Toda equations