Currents, Charges, and Canonical Structure of Pseudodual Chiral Models

Abstract

We discuss the pseudodual chiral model to illustrate a class of two-dimensional theories which have an infinite number of conservation laws but allow particle production, at variance with naive expectations. We describe the symmetries of the pseudodual model, both local and nonlocal, as transmutations of the symmetries of the usual chiral model. We refine the conventional algorithm to more efficiently produce the nonlocal symmetries of the model, and we discuss the complete local current algebra for the pseudodual theory. We also exhibit the canonical transformation which connects the usual chiral model to its fully equivalent dual, further distinguishing the pseudodual theory.

15 pages, ANL-HEP-PR-93-85,Miami-TH-1-93,Revtex (references updated, format improved to Revtex)

References in corpus (6)

• The Quantum Double in Integrable Quantum Field Theory
• The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma Models
• Current Algebra of Classical Non-Linear Sigma Models
• Supersymmetry and the Nonlocal Yangian Deformation Symmetry
• Current Algebra of WZNW Models at and away from Criticality
• Symmetries in a Polynomial Formulation of the Non-Linear Sigma-Model

Cited by in corpus (100)

• Dual Non-Abelian Duality and the Drinfeld Double
• Features of Time-independent Wigner Functions
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles
• On non-abelian T-dual geometries with Ramond fluxes
• A Canonical Approach to Duality Transformations
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Open Strings and D-branes in WZNW model
• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• Non-Abelian Duality and Canonical Transformations
• Non-geometric backgrounds in string theory
• Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality
• On Non-Abelian T-Duality and new N=1 backgrounds
• Dressing Cosets
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Non-Abelian Momentum-Winding Exchange
• Bi-differential calculi and integrable models
• Quantum Poisson-Lie T-duality and WZNW model
• Non--Abelian Duality, Parafermions and Supersymmetry
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• S-Duality in Gauge Theories as a Canonical Transformation
• Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes
• Poisson-Lie T-Duality beyond the classical level and the renormalization group
• Duality-invariant class of two-dimensional field theories
• Wigner Trajectory Characteristics in Phase Space and Field Theory
• Poisson-Lie T-Duality and Bianchi Type Algebras
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• $\lambda$-deformations of left-right asymmetric CFTs
• Integrable theories that are asymptotically CFT
• T-Duality and Non-Local Supersymmetries
• Aspects of T-duality in Open Strings
• Strings, Branes and Extra Dimensions
• New $\mathcal{N}=1$ supersymmetric $Ad{S}_5$ backgrounds in Type IIA supergravity
• Quantum equivalence in Poisson-Lie T-duality
• On the massless tree-level S-matrix in 2d sigma models
• Poisson-Lie T-duality: Open Strings and D-branes
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• Cosmological anti-deSitter space-times and time-dependent AdS/CFT correspondence
• High spin limits and non-abelian T-duality
• Functional representations of integrable hierarchies
• Integrable deformations of the $G_{k_1}\times G_{k_2}/G_{k_1+k_2}$ coset CFTs
• Twistors, the ASD Yang-Mills equations, and 4d Chern-Simons theory
• On Quantum T-duality in sigma models
• Novel all loop actions of interacting CFTs: Construction, integrability and RG flows
• Target Space Duality I: General Theory
• Integrable $\mathcal{E}$-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
• Non-hermitian techniques of canonical transformations in quantum mechanics
• Non-perturbative Double Copy in Flatland
• Poisson-Lie Duality in the String Effective Action
• Semiclassical strings and Non-Abelian T-duality
• CANONICAL NONABELIAN DUAL TRANSFORMATIONS IN SUPERSYMMETRIC FIELD THEORIES
• Geometry and Duality in Supersymmetric sigma-Models
• Target Space Duality between Simple Compact Lie Groups and Lie Algebras under the Hamiltonian Formalism: I. Remnants of Duality at the Classical Level
• Quantum equivalence of sigma models related by non Abelian Duality Transformations
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• Integrable Superstrings on the Squashed Three-sphere
• Duality and Restoration of Manifest Supersymmetry
• Target Space Pseudoduality Between Dual Symmetric Spaces
• Pseudoduality in Sigma Models
• Nonassociativity and Integrable Hierarchies
• Strong integrability of $\lambda$-deformed models
• Nonlocal charges of T-dual strings
• Yang-Baxter deformations of Minkowski spacetime
• Nonlocal Symmetries and Factorized Scattering
• On Non-Abelian Duality in Sigma Models
• Poisson-Lie T-duality and Complex Geometry in N=2 superconformal WZNW models
• Fermionic T-duality and U-duality in type II supergravity
• Non-Abelian Duality Based on Non-Semi-Simple Isometry Groups
• Dualised sigma-models at the two-loop order
• T-duality and Generalized Complex Geometry
• Quantum structure of T-dualized models with symmetry breaking
• Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions
• Vortex String Dynamics in an External Antisymmetric Tensor Field
• Highly nonlinear wave solutions in a dual to the chiral model
• Pseudoduality and Conserved Currents in Sigma Models
• Pseudoduality in Supersymmetric Sigma Models
• Poisson-Lie T-duality and (1,1) supersymmetry
• Pseudoduality Between Symmetric Space Sigma Models
• Integrable $\lambda$-deformations of the Euclidean black string
• On quantum equivalence of dual sigma models: $SL(3)$ examples
• Anti-field Formalism and Non-Abelian Duality
• On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model
• Non-Hermitian quantum canonical variables and the generalized ladder operators
• Study of the "Non-Abelian" Current Algebra of a Non-linear $\sigma$-Model
• A Novel Symmetry in Sigma Models
• Implications of invariance of the Hamiltonian under canonical transformations in phase space
• On algebraic structures in supersymmetric principal chiral model
• Euclidean Pseudoduality and Boundary Conditions in Sigma Models
• Quantum Rajeev-Ranken model as an anharmonic oscillator
• First Order Actions and Duality
• Hidden symmetries in two dimensional field theory
• Supersymmetric Quantum Corrections and Poisson-Lie T-Duality
• Scale without conformal invariance from integrable deformations of coset CFTs
• Pseudoduality in Supersymmetric Sigma Models on Symmetric Spaces
• Schrodinger's Cataplex
• Renormalisability of non-homogeneous T-dualised sigma-models
• Pseudoduality and Complex Geometry in Sigma Models