Abstract
The issue of constructing \( \mathcal{N} \) = 1, 2, 3 supersymmetric extensions of the ℓ-conformal Galilei algebra is reconsidered following the approach in [27]. Drawing a parallel between acceleration generators entering the superalgebra and irreducible supermultiplets of d = 1, \( \mathcal{N} \)-extended superconformal group, a new \( \mathcal{N} \) = 1 ℓ-conformal Galilei superalgebra, two new \( \mathcal{N} \) = 2 variants, and two new \( \mathcal{N} \) = 3 versions are built. Realisations in terms of differential operators in superspace are given.
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Galajinsky, A., Masterov, I. \( \mathcal{N} \) = 1, 2, 3 ℓ-conformal Galilei superalgebras. J. High Energ. Phys. 2021, 165 (2021). https://doi.org/10.1007/JHEP08(2021)165
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DOI: https://doi.org/10.1007/JHEP08(2021)165