Generalized Calogero-Sutherland systems from many-matrix models

DOI10.1016/S0550-3213(99)00112-1zbMath0944.81016arXivhep-th/9806189OpenAlexW3103888854MaRDI QIDQ1572050

Alexios P. Polychronakos

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9806189

zbMATH Keywords

spectrumintegrable systemswavefunctions

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (7)

Generalized spin Sutherland systems revisited ⋮ Spin Calogero models obtained from dynamical \(r\)-matrices and geodesic motion ⋮ Solving field equations in non-isometric coset CFT backgrounds ⋮ Matrix oscillator and Calogero-type models ⋮ Sutherland models for complex reflection groups ⋮ Finding and solving Calogero-Moser type systems using Yang-Mills gauge theories ⋮ Description of identical particles via gauged matrix models: A generalization of the Calogero-Sutherland system

Cites Work

• A generalisation of the Calogero-Moser system
• Collective field theory of the matrix-vector models
• Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
• Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
• CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI
• Hamiltonian group actions and dynamical systems of calogero type

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