N=4 l-conformal Galilei superalgebra
arXiv:1705.02814 · doi:10.1016/j.physletb.2017.05.086
Abstract
An N=4 supersymmetric extension of the l-conformal Galilei algebra is constructed. This is achieved by combining generators of spatial symmetries from the l-conformal Galilei algebra and those underlying the most general superconformal group in one dimension D(2,1;a). The value of the group parameter a is fixed from the requirement that the resulting superalgebra is finite-dimensional. The analysis reveals a=-1/2 thus reducing D(2,1;a) to OSp(4|2).
V3:11 pages. Two misprints in the introduction corrected. The version to appear in PLB