Supertraces on the algebras of observables of the rational Calogero model with harmonic potential

DOI10.1063/1.531544zbMath0865.16030arXivhep-th/9512038OpenAlexW3102186215MaRDI QIDQ5284248

Semjon E. Konstein, M. A. Vasiliev

Publication date: 2 April 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9512038

zbMATH Keywords

number of partitionsLie superalgebrassupertracesalgebra of observablesrational Calogero modelharmonic interactions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Applications of Lie (super)algebras to physics, etc. (17B81) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) ``Super (or ``skew) structure (16W55)

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Cites Work

• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• REPRESENTATIONS OF THE S_N-EXTENDED HEISENBERG ALGEBRA AND RELATIONS BETWEEN KNIZHNIK-ZAMOLODCHIKOV EQUATIONS AND QUANTUM CALOGERO MODEL
• THE CALOGERO MODEL AND THE VIRASORO SYMMETRY
• HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
• Exchange operator formalism for integrable systems of particles