Linearizing extended nonlinear supersymmetry in two dimensional spacetime

Abstract

We linearize nonlinear supersymmetry in the Volkov-Akulov (VA) theory for extended SUSY in two dimensional spacetime ($d=2$) based on the commutator algebra. Linear SUSY transformations of basic component fields for general vector supermultiplets are uniquely determined from variations of functionals (composites) of Nambu-Goldstone (NG) fermions, which are represented as simple products of powers of the NG fermions and a fundamental determinant in the VA theory. The structure of basic component fields with general auxiliary fields in the vector supermultiplets and transitions to $U(1)$ gauge supermultiplets through recombinations of the functionals of the NG fermions are explicitly shown both in $N=2$ and $N=3$ theories as the simplest and general examples for extended SUSY theories in $d=2$.

26 pages

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Cited by in corpus (1)

• On commutator-based linearization of vector-spinor nonlinear supersymmetry and Rarita-Schwinger fields