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Null fermio-dynamics in superspace: Abelian and non-Abelian 3D massive vector fields. (English) Zbl 0602.53063
The author studies the spinorial dynamical structure of the four known cases of 3D supersymmetric vector systems with mass: The ordinary massive vector system, the Abelian topological system, the self dual system and the topological (non Abelian) Yang-Mills system. The corresponding half order actions, that is action integrals where each term contains at most one spinorial derivative, are written in superspace. Using light-front coordinates as projectors for the Grassmann variables, each system is solved in terms of the unconstrained action and of the generators of the lightfront spinorial dynamics.
Reviewer: M.Maia
53C80 Applications of global differential geometry to the sciences
83E50 Supergravity
81T60 Supersymmetric field theories in quantum mechanics
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