Abstract
N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.
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ArXiv ePrint: 1706.08300
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Galajinsky, A., Krivonos, S. N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets. J. High Energ. Phys. 2017, 131 (2017). https://doi.org/10.1007/JHEP09(2017)131
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DOI: https://doi.org/10.1007/JHEP09(2017)131