Deformed Coset Models From Gauged WZW Actions

Abstract

A general Lagrangian formulation of integrably deformed G/H-coset models is given. We consider the G/H-coset model in terms of the gauged Wess-Zumino-Witten action and obtain an integrable deformation by adding a potential energy term $Tr(gTg^{-1}\Tb )$, where algebra elements $T, \Tb $ belong to the center of the algebra {\bf h} associated with the subgroup H. We show that the classical equation of motion of the deformed coset model can be identified with the integrability condition of certain linear equations which makes the use of the inverse scattering method possible. Using the linear equation, we give a systematic way to construct infinitely many conserved currents as well as soliton solutions. In the case of the parafermionic SU(2)/U(1)-coset model, we derive $n$-solitons and conserved currents explicitly.

11 pages

Cited by in corpus (41)

• An Integrable Deformation of the AdS5 x S5 Superstring
• Integrable Deformations of Strings on Symmetric Spaces
• The Symmetric Space and Homogeneous sine-Gordon Theories
• Lagrangian Formulation of Symmetric Space sine-Gordon Models
• Quantum scattering of charged solitons in the complex sine-Gordon model
• 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
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Solitonic Integrable Perturbations of Parafermionic Theories
• Semi-classical spectrum of the Homogeneous sine-Gordon theories
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Massive Integrable Soliton Theories
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• Duality in Complex sine-Gordon Theory
• On the perturbative S-matrix of generalized sine-Gordon models
• Decoupling the SU(N)_2-homogeneous Sine-Gordon model
• Small x Phenomenology: Summary and status 2002
• Integrable scattering theories with unstable particles
• Field Theory for Coherent Optical Pulse Propagation
• K_{e3} decays and CKM unitarity
• Search for Chargino and Neutralino Production at sqrt(s) = 192-209 GeV at LEP
• The Sasa--Satsuma (complex mKdV II) and the complex sine-Gordon II equation revisited: recursion operators, nonlocal symmetries, and more
• Renormalization group flow with unstable particles
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• g-Functions and gluon scattering amplitudes at strong coupling
• Classical Matrix sine-Gordon Theory
• Massive Symmetric Space sine-Gordon Soliton Theories and Perturbed Conformal Field Theory
• Integrable Field Theories with an Interacting Massless Sector
• Deformed Minimal Models and Generalized Toda Theory
• The complex sine-Gordon model on a half line
• Real Forms of Non-abelian Toda Theories and their W-algebras
• Vortex Strings and Nonabelian sine-Gordon Theories
• Gauging The Diamond: Integrable Coset Models from Twistor Space
• Vortex String Dynamics in an External Antisymmetric Tensor Field
• Path Integral Bosonization of Massive GNO Fermions
• Duality in deformed coset fermionic models
• Chaos in the thermodynamic Bethe ansatz
• On vacuum energies and renormalizability in integrable quantum field theories
• Gravitational dressing of massive soliton theories
• Scaling functions from q-deformed Virasoro characters
• Novel aspects of integrability for NLSMs in symmetric spaces