Integrable deformations of affine Toda theories and duality

DOI10.1016/0550-3213(96)00417-8zbMath0925.81304OpenAlexW2015487431MaRDI QIDQ1814677

Vladimir A. Fateev

Publication date: 30 October 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0550-3213(96)00417-8

zbMATH Keywords

Bethe ansatzLie algebrasperturbative calculationsmassive Thirring modelfactorized scattering theorycomplex sinh-Gordon theoryLagrangian theoriesWitten Euclidean black hole metric

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

On \(W\) algebras commuting with a set of screenings, Scattering and duality in the 2 dimensional OSp\((2\mid 2)\) Gross Neveu and sigma models, Integrable deformations of sine-Liouville conformal field theory and duality, FERMION–BOSON DUALITY IN INTEGRABLE QUANTUM FIELD THEORY, Dyonic integrable models, Electrically charged topological solitons, \(T\)-duality of axial and vector dyonic integrable models, Thermodynamics of Fateev's models in the presence of external fields., T-duality in Affine NA Toda Models, Multicharged dyonic integrable models

Cites Work

• The exact \(S\)-matrices associated to non-simply laced affine Toda field theories: the \(B^{(1)}_n\) and \(C^{(1)}_n\) cases
• Nonlinear models in \(2+\epsilon\) dimensions
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
• String theory and black holes