Minimal realization of \(\ell\)-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation

DOI10.1007/JHEP10(2016)078zbMath1390.83246arXiv1607.03756WikidataQ125885860 ScholiaQ125885860MaRDI QIDQ1636324

Olaf Lechtenfeld, Sergey Krivonos, Alexander S. Sorin

Publication date: 12 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03756

zbMATH Keywords

black holesconformal and W symmetryspace-time symmetries

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Analogues of general relativity in lower dimensions (83C80) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

Related Items (13)

\(l\)-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator ⋮ Hidden symmetries of deformed oscillators ⋮ Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain ⋮ 2-Local derivations on the planar Galilean conformal algebra ⋮ Aspects of infinite dimensional ℓ-super Galilean conformal algebra ⋮ Casimir operators of centrally extended $l$-conformal Galilei algebra ⋮ SU(1,2) invariance in two-dimensional oscillator ⋮ Towards \(\ell\)-conformal Galilei algebra via contraction of the conformal group ⋮ Hamiltonian formulation for perfect fluid equations with the \(\ell\)-conformal Galilei symmetry ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ Coupling-constant metamorphosis in \(\mathrm{SL}(2,\mathbb{R})\)-invariant systems ⋮ Meta-Schrödinger invariance ⋮ Boundedness of meta-conformal two-point functions in one and two spatial dimensions

Cites Work

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• Coset spaces and Einstein manifolds with \(l\)-conformal Galilei symmetry
• Conformal mechanics in Newton-Hooke spacetime
• Phenomenology of local scale invariance: From conformal invariance to dynamical scaling
• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization
• Dynamical realizations of \(l\)-conformal Newton-Hooke group
• Ricci-flat spacetimes with \(l\)-conformal Galilei symmetry
• Comments on Galilean conformal field theories and their geometric realization
• Conformal field theories via Hamiltonian reduction
• N = 2 SUPER-$W_3^{(2)}$ ALGEBRA IN SUPERFIELDS
• Remark on higher-derivative mechanics with l-conformal Galilei symmetry
• Dynamical realizations of $\mathcal {N}=1$N=1 l-conformal Galilei superalgebra
• Conformal extensions of the Galilei group and their relation to the Schrödinger group
• Nonrelativistic conformal groups
• Central extensions of the quasi-orthogonal Lie algebras
• On Field Theories with Non-Localized Action

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