N=2 supersymmetric extension of l-conformal Galilei algebra

Abstract

N=2 supersymmetric extension of the l-conformal Galilei algebra is constructed. A relation between its representations in flat spacetime and in Newton-Hooke spacetime is discussed. An infinite-dimensional generalization of the superalgebra is given.

V4: 8 pages, references and acknowledgements added

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Cited by in corpus (20)

• Dynamical realization of l-conformal Galilei algebra and oscillators
• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Dynamical realizations of l-conformal Newton-Hooke group
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• Chiral and Real N=2 supersymmetric l-conformal Galilei algebras
• Super-GCA from $\mathcal{N}=(2,2)$ Super-Virasoro
• N = 2 Galilean superconformal algebras with central extension
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• $\ell$-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
• ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ generalizations of $\mathcal{N}=1$ superconformal Galilei algebras and their representations
• Unitary representations of N-conformal Galilei group
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Addendum to "Super-GCA from $\mathcal{N}=(2,2)$ super-Virasoro": Super-GCA connection with tensionless strings
• Invariant PDEs with Two-dimensional Exotic Centrally Extended Conformal Galilei Symmetry
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• N=4 l-conformal Galilei superalgebras inspired by D(2,1;a) supermultiplets
• Superfield approach to higher derivative N=1 superconformal mechanics
• N=1,2,3 l-conformal Galilei superalgebras
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra