N=1,2,3 l-conformal Galilei superalgebras
High Energy Physics - Theory
2021-09-15 v2
Abstract
The issue of constructing N=1,2,3 supersymmetric extensions of the l-conformal Galilei algebra is reconsidered following the approach in [JHEP 1709 (2017) 131]. Drawing a parallel between acceleration generators entering the superalgebra and irreducible supermultiplets of d=1, N-extended superconformal group, a new N=1 l-conformal Galilei superalgebra, two new N=2 variants, and two new N=3 versions are built. Realisations in terms of differential operators in superspace are given.
Keywords
Cite
@article{arxiv.2105.14808,
title = {N=1,2,3 l-conformal Galilei superalgebras},
author = {Anton Galajinsky and Ivan Masterov},
journal= {arXiv preprint arXiv:2105.14808},
year = {2021}
}
Comments
v2: 17 pages, introductory and concluding parts extended, references added; the version accepted in JHEP