Remarks on integrability of \(\mathcal{N} = 1\) supersymmetric Ruijsenaars-Schneider three-body models

DOI10.1007/jhep05(2024)129MaRDI QIDQ6568141

Anton Galajinsky

Publication date: 5 July 2024

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

zbMATH Keywords

superspacesintegrable field theoriessupersymmetric effective theories

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

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• \(N=4\) multi-particle mechanics, WDVV equation and roots
• Calogero models and nonlocal conformal transformations
• On \(\mathcal{N} = 2\) supersymmetric Ruijsenaars-Schneider models
• A new class of integrable systems and its relation to solitons
• Ruijsenaars-Schneider three-body models with \(N=2\) supersymmetry
• \( \mathcal{N} =2 \) supersymmetric extensions of relativistic Toda lattice
• Relativistic Toda systems
• Algebro-geometric Schrödinger operators in many dimensions
• Black holes and Calogero models
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)
• Integrability of \(\mathcal{N} = 1\) supersymmetric Ruijsenaars-Schneider three-body system

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