English

Possible Supersymmetric Kinematics

High Energy Physics - Theory 2015-09-30 v1

Abstract

The contraction method in different limits to obtain 22 different realizations of kinematical algebras is applied to study the supersymmetric extension of \AdS\ algebra and its contractions. It is shown that p2\frak{p}_2 h\frak{h}_-, p\frak{p}', c2\frak{c}_2 and g\frak{g}' algebras, in addition to d\frak{d}_-, p\frak{p}, n\frak{n}_-, g\frak{g} and c\frak{c} algebras, have supersymmetric extension, while n2\frak{n}_{-2}, g2\frak{g}_2 and g2\frak{g}'_2 algebras have no supersymmetric extension. The connections among the superalgebras are established.

Keywords

Cite

@article{arxiv.1409.5498,
  title  = {Possible Supersymmetric Kinematics},
  author = {Chao-Guang Huang and Lin Li},
  journal= {arXiv preprint arXiv:1409.5498},
  year   = {2015}
}
R2 v1 2026-06-22T06:00:21.720Z