Ruijsenaars-Schneider three-body models with \(N=2\) supersymmetry

DOI10.1007/JHEP04(2018)079zbMath1390.81595arXiv1802.08011OpenAlexW2795785264MaRDI QIDQ1641748

Anton V. Galajinsky

Publication date: 19 June 2018

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

Full work available at URL: https://arxiv.org/abs/1802.08011

zbMATH Keywords

integrable field theoriesextended supersymmetrynon-metric connections

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (5)

On \(\mathcal{N} = 2\) supersymmetric Ruijsenaars-Schneider models ⋮ Geodesic compatibility: goldfish systems ⋮ Integrability of \(\mathcal{N} = 1\) supersymmetric Ruijsenaars-Schneider three-body system ⋮ \( \mathcal{N} =2 \) supersymmetric extensions of relativistic Toda lattice ⋮ Remarks on \(\mathcal{N} = 1\) supersymmetric extension of the Euler top

Cites Work

• On three dimensional quiver gauge theories and integrability
• Many-particle mechanics with \(D(2, 1; {\alpha})\) superconformal symmetry
• Goldfish geodesics and Hamiltonian reduction of matrix dynamics
• A new class of integrable systems and its relation to solitons
• On the superintegrability of the rational Ruijsenaars-Schneider model
• (Super)conformal many-body quantum mechanics with extended supersymmetry
• Black holes and Calogero models
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

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