N=4 l-conformal Galilei superalgebra
High Energy Physics - Theory
2017-06-07 v3 Mathematical Physics
math.MP
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).
Cite
@article{arxiv.1705.02814,
title = {N=4 l-conformal Galilei superalgebra},
author = {Anton Galajinsky and Ivan Masterov},
journal= {arXiv preprint arXiv:1705.02814},
year = {2017}
}
Comments
V3:11 pages. Two misprints in the introduction corrected. The version to appear in PLB