Dynamical interpretation of nonrelativistic conformal groups

DOI10.1016/j.physletb.2013.03.020zbMath1309.81105arXiv1108.1299OpenAlexW2023432657MaRDI QIDQ2340790

Joanna Gonera, Krzysztof Andrzejewski

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/1108.1299

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (21)

Ricci-flat spacetimes with \(l\)-conformal Galilei symmetry ⋮ Three-dimensional de Sitter horizon thermodynamics ⋮ The odd-order Pais-Uhlenbeck oscillator ⋮ Coset spaces and Einstein manifolds with \(l\)-conformal Galilei symmetry ⋮ Dynamical realizations of $\mathcal {N}=1$N=1 l-conformal Galilei superalgebra ⋮ Higher-derivative generalization of conformal mechanics ⋮ Towards \(\ell\)-conformal Galilei algebra via contraction of the conformal group ⋮ On dynamical realizations of \(l\)-conformal Galilei groups ⋮ Quantum conformal mechanics emerging from unitary representations of \(\mathrm{SL}(2,\mathbb R)\) ⋮ Chiral and real ${\cal N}=2$N=2 supersymmetric ℓ-conformal Galilei algebras ⋮ Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator ⋮ Higher-derivative mechanics with N=2l-conformal Galilei supersymmetry ⋮ On dynamical realizations of \(l\)-conformal Galilei and Newton-Hooke algebras ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator ⋮ Cosmology as a \(\mathrm{CFT}_1\) ⋮ Remark on higher-derivative mechanics with l-conformal Galilei symmetry ⋮ New realizations of 𝒩 = 2l-conformal Newton–Hooke superalgebra ⋮ Protected SL(2,ℝ) symmetry in quantum cosmology ⋮ N-Conformal Galilean Group as a Maximal Symmetry Group of Higher-Derivative Free Theory ⋮ Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator

Cites Work

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