${\mathbb Z}_2\times {\mathbb Z}_2$-graded mechanics: the classical theory

14 Jul 2020 Aizawa N. Kuznetsova Z. Toppan F.

${\mathbb Z}_2\times {\mathbb Z}_2$-graded mechanics admits four types of particles: ordinary bosons, two classes of fermions (fermions belonging to different classes commute among each other) and exotic bosons. In this paper we construct the basic ${\mathbb Z}_2\times {\mathbb Z}_2$-graded worldline multiplets (extending the cases of one-dimensional supersymmetry) and compute, based on a general scheme, their invariant classical actions and worldline sigma-models... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS