A complete classification of N=1, d=4 kinematical and aristotelian Lie superalgebras and their homogeneous superspaces, without assuming parity or time-reversal invariance.
Kinematical superalgebras and Lie algebras of order 3
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abstract
We study and classify kinematical algebras which appear in the framework of Lie superalgebras or Lie algebras of order three. All these algebras are related through generalised Inon\"u-Wigner contractions from either the orthosymplectic superalgebra or the de Sitter Lie algebra of order three.
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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.