Massive Integrable Soliton Theories

Abstract

Massive integrable field theories in $1+1$ dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the ``non-abelian'' Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in a non-abelian Lie group and it is argued that the coupling constant is quantized, unlike the situation in the sine-Gordon theory, which is a special case since its field takes values in an abelian group. It is further shown that these theories correspond to perturbations of certain coset conformal field theories. The solitons in the theories will, in general, carry non-abelian charges.

18 pages, no figures, plain tex with macro included

References in corpus (7)

• Quantum scattering of charged solitons in the complex sine-Gordon model
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• Lagrangian Formulation of Symmetric Space sine-Gordon Models
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon models
• Two-dimensional S-matrices from unitarity cuts
• Affine Toda Systems Coupled to Matter Fields
• Tau-functions and Dressing Transformations for Zero-Curvature Affine Integrable Equations
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• On the perturbative S-matrix of generalized sine-Gordon models
• Field Theory for Coherent Optical Pulse Propagation
• Renormalization group flow with unstable particles
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Self-dual sectors for scalar field theories in (1 + 1) dimensions
• Massive Symmetric Space sine-Gordon Soliton Theories and Perturbed Conformal Field Theory
• Integrable Field Theories with an Interacting Massless Sector
• Non-Abelian Toda field theories from a 4D Chern-Simons theory
• Real Forms of Non-abelian Toda Theories and their W-algebras
• Gauging The Diamond: Integrable Coset Models from Twistor Space
• Path Integral Bosonization of Massive GNO Fermions
• Solitons with Isospin
• Pohlmeyer reduction for superstrings in AdS space
• Gravitational dressing of massive soliton theories
• Scaling functions from q-deformed Virasoro characters
• Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories
• Novel aspects of integrability for NLSMs in symmetric spaces