Integrable nonlinear \(\sigma\) models with fermions

DOI10.1007/BF01210796zbMath0599.53062OpenAlexW2035743860MaRDI QIDQ1080214

Elcio Abdalla, Michael Forger

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01210796

zbMATH Keywords

symmetric spaceLagrangiangauge groupfermion representationfermions with quartic self-interactions

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global differential geometry to the sciences (53C80)

Related Items (12)

Integrable nonlinear \(\sigma\) models with fermions ⋮ Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces ⋮ Flag manifold $\sigma$-models: the $\frac{1}{N}$-expansion and the anomaly two-form ⋮ Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow ⋮ Commuting charges and symmetric spaces ⋮ Conserved charges and supersymmetry in principal chiral and WZW models ⋮ Zero-curvature formalism of supersymmetric principal chiral model ⋮ Superfield Lax formalism of supersymmetric sigma model on symmetric spaces ⋮ The low energy limit of the \(\mathrm{AdS}_3\times S^3\times M_4\) spinning string ⋮ The structure of \(N=16\) supergravity in two dimensions ⋮ Integrability and canonical structure of \(d=2\), \(N=16\) supergravity. ⋮ Integrated Lax formalism for principal chiral model

Cites Work

• Classical and quantum algebras of non-local charges in \(\sigma\) models
• Integrable nonlinear \(\sigma\) models with fermions
• Higher local conservation laws for nonlinear sigma models on symmetric spaces
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Antisymmetric tensor gauge theories and nonlinear \(\sigma\)-models
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