Dynkin diagrams and integrable models based on Lie superalgebras

DOI10.1016/S0550-3213(97)00381-7zbMath1003.37506arXivhep-th/9703065OpenAlexW3103829142MaRDI QIDQ1367567

Jonathan M. Evans, Jens Ole Madsen

Publication date: 24 September 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9703065

zbMATH Keywords

Cartan matrixsupersymmetryDynkin diagrams2D Toda fieldbosonic root systemsclassical mass spectrumcoupled sine Gordon theories

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (4)

QUANTUM INTEGRABILITY OF COUPLED N=1 SUPER SINE/SINH–GORDON THEORIES AND THE LIE SUPERALGEBRA D(2,1;α) ⋮ Quantum supersymmetric Toda--mKdV hierarchies ⋮ Classical \(r\)-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups ⋮ Quantum integrable systems from supergroup gauge theories

Cites Work

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