Calogero models and nonlocal conformal transformations

DOI10.1016/j.physletb.2006.10.062zbMath1248.81105arXivhep-th/0607215OpenAlexW1984532342MaRDI QIDQ712895

Olaf Lechtenfeld, Kirill Polovnikov, Anton V. Galajinsky

Publication date: 18 October 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0607215

zbMATH Keywords

supersymmetryCalogero modelnonlocal conformal transformations

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (16)

\(\mathcal{N} = 4\) supersymmetric U(2)-spin hyperbolic Calogero-Sutherland model ⋮ New \(D(2,1;\alpha)\) mechanics with spin variables ⋮ The structure of invariants in conformal mechanics ⋮ Conformal mechanics in Newton-Hooke spacetime ⋮ Higher-derivative generalization of conformal mechanics ⋮ Global \(\widetilde{\text{SL}(2,R)}\) representations of the Schrödinger equation with singular potential ⋮ \(\mathcal N = 4\) superconformal Calogero models ⋮ Lobachevsky geometry of (super)conformal mechanics ⋮ \(\mathcal{N} = 2\) supersymmetric hyperbolic Calogero-Sutherland model ⋮ Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems ⋮ Hierarchy of \(N=8\) mechanics models ⋮ COMMENTS ON DIHEDRAL AND SUPERSYMMETRIC EXTENSIONS OF A FAMILY OF HAMILTONIANS ON A PLANE ⋮ A sharp version of Phragmén-Lindelöf type theorem for the stationary Schrödinger equation ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ Hidden symmetries of integrable conformal mechanical systems ⋮ Remarks on \(\mathcal{N} = 1\) supersymmetric extension of the Euler top

Cites Work

• Integrable systems from gauged matrix models.
• Super-Calogero model with OSp(\(2| 2\)) supersymmetry: is the construction unique?
• Super-Calogero-Moser-Sutherland systems and free super-oscillators: a mapping
• (Super)conformal many-body quantum mechanics with extended supersymmetry
• Conformal properties of a class of exactly solvable N-body problems in space dimension one
• Semiclassical Approach to Planar Diagrams
• Black holes and Calogero models

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