Current algebra of classical nonlinear sigma models

DOI10.1007/BF02102634zbMath0755.58023arXivhep-th/9201025OpenAlexW2052723634MaRDI QIDQ1193036

J. Laartz, Michael Forger, Ulrich Schäper

Publication date: 27 September 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9201025

zbMATH Keywords

Riemannian manifoldscurrent algebranon-linear sigma models

Mathematics Subject Classification ID

Model quantum field theories (81T10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

The algebra of non-local charges in nonlinear sigma models, Classically integrable boundary conditions for symmetric-space sigma models, Current algebra and the nonlinear \(\sigma\)-model, Nonlocal symmetries, spectral parameter and minimal surfaces in AdS/CFT, Gauged nonlinear sigma model and boundary diffeomorphism algebra, The Lie-Poisson structure of integrable classical nonlinear sigma models, The algebra of the energy-momentum tensor and the Noether currents in classical nonlinear sigma models

Cites Work

• Classical and quantum algebras of non-local charges in \(\sigma\) models
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Higher local conservation laws for nonlinear sigma models on symmetric spaces
• The Lie-Poisson structure of integrable classical nonlinear sigma models