On hidden broken nonlinear superconformal symmetry of conformal mechanics and nature of double nonlinear superconformal symmetry
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Publication:451938
DOI10.1016/j.physletb.2005.09.046zbMath1247.81170arXivhep-th/0508223OpenAlexW2084524378MaRDI QIDQ451938
Mikhail S. Plyushchay, Mariano A. del Olmo, Francisco Julio Sobreira de Araujo Correa
Publication date: 25 September 2012
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0508223
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Symmetry breaking in quantum theory (81R40)
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Cites Work
- Interaction via reduction and nonlinear superconformal symmetry
- Systems with higher-order shape invariance: spectral and algebraic properties
- Three aspects of bosonized supersymmetry and linear differential field equation with reflection
- The geometry of (super) conformal quantum mechanics
- \(N\)-fold supersymmetry for a periodic potential
- Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential repre\-sentation
- Polynomial SUSY in quantum mechanics and second derivative Darboux transformations
- Conformal and superconformal mechanics
- HIDDEN NONLINEAR SUPERSYMMETRIES IN PURE PARABOSONIC SYSTEMS
- On the resolvent and spectral functions of a second order differential operator with a regular singularity
- Geometric superfield approach to superconformal mechanics
- Geometry of conformal mechanics
- Black Holes and Superconformal Mechanics
- Supersymmetry in quantum mechanics: an extended view
- Self-adjoint extensions and SUSY breaking in supersymmetric quantum mechanics
- Singular potentials in nonrelativistic quantum mechanics
- Black holes and Calogero models
- Horizon states for AdS black holes
- Bound states in one-dimensional quantum \(N\)-body systems with inverse square interaction
- Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra
