\( \mathcal{N} =2 \) supersymmetric extensions of relativistic Toda lattice

DOI10.1007/JHEP06(2019)061zbMath1416.81187arXiv1904.03996MaRDI QIDQ2314921

Anton V. Galajinsky

Publication date: 30 July 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03996

zbMATH Keywords

integrable field theoriesextended supersymmetry

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) Quantum field theory on lattices (81T25) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

Geodesic compatibility: goldfish systems ⋮ Remarks on \(\mathcal{N} = 1\) supersymmetric extension of the Euler top

Cites Work

• Goldfish geodesics and Hamiltonian reduction of matrix dynamics
• A new class of integrable systems and its relation to solitons
• Exact quantization conditions for the relativistic Toda lattice
• Ruijsenaars-Schneider three-body models with \(N=2\) supersymmetry
• Supersymmetric many-body Euler-Calogero-Moser model
• Relativistic Toda systems
• Superconformal mechanics
• A discrete-time relativistic Toda lattice
• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• THERMODYNAMICS OF THE TODA CHAIN
• Generalised Eisenhart lift of the Toda chain

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