$ \mathcal{N} = 2$ Galilean superconformal algebras with a central extension

DOI10.1088/1751-8113/45/47/475203zbMath1258.81045arXiv1206.2708OpenAlexW1984624338MaRDI QIDQ3145900

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Publication date: 17 December 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2708

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Operator algebra methods applied to problems in quantum theory (81R15)

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Super-GCA from \(\mathcal{N} = (2, 2)\) super-Virasoro ⋮ Dynamical realizations of $\mathcal {N}=1$N=1 l-conformal Galilei superalgebra ⋮ Aspects of infinite dimensional ℓ-super Galilean conformal algebra ⋮ Z 2 × Z 2 generalizations of 𝒩=2 super Schrödinger algebras and their representations ⋮ On dynamical realizations of \(l\)-conformal Galilei groups ⋮ Conformal mechanics ⋮ Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations ⋮ \(\mathcal{N} = 1, 2, 3\) \(\mathcal{l} \)-conformal Galilei superalgebras ⋮ 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 ⋮ Higher-derivative mechanics with N=2l-conformal Galilei supersymmetry ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator ⋮ ℓ-oscillators from second-order invariant PDEs of the centrally extended conformal Galilei algebras

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