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On the linearization of nonlinear supersymmetry based on the commutator algebra. (English) Zbl 1369.81092

Summary: We discuss a linearization procedure of nonlinear supersymmetry (NLSUSY) based on the closure of the commutator algebra for variations of functionals of Nambu-Goldstone fermions and their derivative terms under NLSUSY transformations in Volkov-Akulov NLSUSY theory. In the case of a set of bosonic and fermionic functionals, which leads to (massless) vector linear supermultiplets, we explicitly show that general linear SUSY transformations of basic components defined from those functionals are uniquely determined by examining the commutation relation in the NLSUSY theory.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81S05 Commutation relations and statistics as related to quantum mechanics (general)
81R25 Spinor and twistor methods applied to problems in quantum theory
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