A complete classification of N=1, d=4 kinematical and aristotelian Lie superalgebras and their homogeneous superspaces, without assuming parity or time-reversal invariance.
Possible Supersymmetric Kinematics
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2019 1verdicts
ACCEPT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Kinematical superspaces
A complete classification of N=1, d=4 kinematical and aristotelian Lie superalgebras and their homogeneous superspaces, without assuming parity or time-reversal invariance.