Three-particle Calogero model: Supertraces and ideals on the algebra of observables

DOI10.1007/BF02557126zbMath1050.81551arXivhep-th/9803213MaRDI QIDQ1567924

N. Delaunay

Publication date: 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9803213

zbMATH Keywords

wave functionscoupling constantsupertracestwo-sided idealassociative observables superalgebraFock procedureobservables superalgebrathree-particle Calogero model

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70)

Related Items (5)

Ideals generated by traces in the algebra of symplectic reflections \(H_{1,\nu_1,\nu_2}(I_2(2m))\) ⋮ Traces on the Algebra of Observables of the Rational CalogeroModel Based on the Root System ⋮ The number of independent traces and supertraces on symplectic reflection algebras ⋮ Ideals generated by traces or by supertraces in the symplectic reflection algebra H_{1, ν} (I₂(2m + 1)) ⋮ Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models

Cites Work

• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• Exchange operator formalism for integrable systems of particles
• Supertraces on the algebras of observables of the rational Calogero model with harmonic potential

This page was built for publication: Three-particle Calogero model: Supertraces and ideals on the algebra of observables