Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
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Publication:526032
DOI10.1016/j.physletb.2014.10.008zbMath1360.81199arXiv1409.3926OpenAlexW2074882323MaRDI QIDQ526032
Publication date: 8 May 2017
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.3926
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Related Items (22)
Ricci-flat spacetimes with \(l\)-conformal Galilei symmetry ⋮ Gravitational waves and conformal time transformations ⋮ The odd-order Pais-Uhlenbeck oscillator ⋮ Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel ⋮ \(\mathcal{N} = 2\) supersymmetric odd-order Pais-Uhlenbeck oscillator ⋮ \(l\)-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator ⋮ Coset spaces and Einstein manifolds with \(l\)-conformal Galilei symmetry ⋮ Proper time reparametrization in cosmology: Möbius symmetry and Kodama charges ⋮ 𝒩 = 2 supersymmetric Pais–Uhlenbeck oscillator ⋮ Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator ⋮ Higher-derivative generalization of conformal mechanics ⋮ Towards \(\ell\)-conformal Galilei algebra via contraction of the conformal group ⋮ (1 + 1) Newton–Hooke group for the simple and damped harmonic oscillator ⋮ Higher-derivative mechanics with N=2l-conformal Galilei supersymmetry ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ Remark on higher-derivative mechanics with l-conformal Galilei symmetry ⋮ Hidden symmetry and (super)conformal mechanics in a monopole background ⋮ ℓ-oscillators from second-order invariant PDEs of the centrally extended conformal Galilei algebras ⋮ New realizations of 𝒩 = 2l-conformal Newton–Hooke superalgebra ⋮ Generalized conformal pseudo-Galilean algebras and their Casimir operators ⋮ Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator ⋮ An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator
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