Current Algebra of Classical Non-Linear Sigma Models

Abstract

The current algebra of classical non-linear sigma models on arbitrary Riemannian manifolds is analyzed. It is found that introducing, in addition to the Noether current $j_{\mu }$ associated with the global symmetry of the theory, a composite scalar field $j$, the algebra closes under Poisson brackets.

6 pages

References in corpus (1)

• The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma Models

Cited by in corpus (15)

• Currents, Charges, and Canonical Structure of Pseudodual Chiral Models
• The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma Models
• Canonical Quantum Supergravity in Three Dimensions, (some lines lost during submission)
• Classically integrable boundary conditions for symmetric-space sigma models
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• Nonlocal Symmetries, Spectral Parameter and Minimal Surfaces in AdS/CFT
• The Algebra of Non-Local Charges in Non-Linear Sigma Models
• Coherent state path integral and super-symmetry for condensates composed of bosonic and fermionic atoms
• Gauged Nonlinear Sigma Model and Boundary Diffeomorphism Algebra
• Algebra of Non-Local Charges in Supersymmetric Non-Linear Sigma Models
• The Algebra of the Energy-Momentum Tensor and the Noether Currents in Classical Non-Linear Sigma Models
• Fields in nonaffine bundles. III. Effective symmetries and conserved currents in strings and higher branes
• Study of the "Non-Abelian" Current Algebra of a Non-linear $\sigma$-Model
• Current Algebra of Super WZNW Models
• New classical r-matrices from integrable non-linear sigma models