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arXiv · 1409.5498

Possible Supersymmetric Kinematics

Chao-Guang Huang·Lin Li
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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 $\frak{p}_2$ $\frak{h}_-$, $\frak{p}'$, $\frak{c}_2$ and $\frak{g}'$ algebras, in addition to $\frak{d}_-$, $\frak{p}$, $\frak{n}_-$, $\frak{g}$ and $\frak{c}$ algebras, have supersymmetric extension, while $\frak{n}_{-2}$, $\frak{g}_2$ and $\frak{g}'_2$ algebras have no supersymmetric extension. The connections among the superalgebras are established.

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Chao-Guang Huang, Lin Li. 2014-09-19. Possible Supersymmetric Kinematics. https://doi.org/10.1088/1674-1137%2F39%2F9%2F093103

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