Fermionic flows and tau function of the \(N=(1| 1)\) superconformal Toda lattice hierarchy.

DOI10.1016/S0550-3213(99)00063-2zbMath1068.81607arXivsolv-int/9810009OpenAlexW2047015098MaRDI QIDQ1572273

Olaf Lechtenfeld, Alexander S. Sorin

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9810009

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (6)

A Note on the Appearance of Self-Dual Yang-Mills Fields in Integrable Hierarchies ⋮ Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces. ⋮ Bosonic symmetries of the extended fermionic \((2N, 2M)\)-Toda hierarchy ⋮ Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions ⋮ Periodic Supersymmetric Toda Lattice Hierarchy ⋮ Lax pair formulation of the \(N=4\) Toda chain (KdV) hierarchy in \(N=4\) superspace

Cites Work

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• Differential algebras and \({\mathcal D}\)-modules in super Toda lattice hierarchy
• Perturbative series and the moduli space of Riemann surfaces
• The integrable mapping as the discrete group of inner symmetry of integrable systems
• Constrained KP Hierarchies: Additional Symmetries, Darboux–Bäcklund Solutions and Relations to Multi-Matrix Models
• SUPERLOOP EQUATIONS AND TWO-DIMENSIONAL SUPERGRAVITY
• MATRIX MODELS WITHOUT SCALING LIMIT
• A supersymmetric extension of the Toda lattice hierarchy
• Integrable mappings and hierarchies in the \((2|2)\) superspace

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