Possible Supersymmetric Kinematics

Chao-Guang Huang; Lin Li

Possible Supersymmetric Kinematics

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arxiv 1409.5498 v1 pith:QRBMYRK6 submitted 2014-09-19 hep-th

Chao-Guang Huang , Lin Li This is my paper · ORCID

classification hep-th

keywords frakalgebrassupersymmetricextensiondifferentadditionalgebraapplied

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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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Kinematical superspaces
hep-th 2019-08 accept novelty 7.0 of 10

A complete classification of N=1, d=4 kinematical and aristotelian Lie superalgebras and their homogeneous superspaces, without assuming parity or time-reversal invariance.

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