Spinor-vector supersymmetry algebra in three dimensions
Kazunari Shima, Motomu Tsuda
TL;DR
This paper explores a spin-3/2 supersymmetry algebra in three dimensions, providing a nonlinear realization and analyzing its unitary representations, contrasting them with traditional spin-1/2 SUSY algebra.
Contribution
It presents a detailed nonlinear realization of the spin-3/2 SUSY algebra in three dimensions and discusses its unitary representations, expanding understanding beyond conventional SUSY models.
Findings
Explicit nonlinear realization of the spin-3/2 SUSY algebra
Comparison of spin-3/2 and spin-1/2 SUSY algebra representations
Discussion of unitary representations of the algebra
Abstract
We focus on a spin-3/2 supersymmetry (SUSY) algebra of Baaklini in D = 3 and explicitly show a nonlinear realization of the SUSY algebra. The unitary representation of the spin-3/2 SUSY algebra is discussed and compared with the ordinary (spin-1/2) SUSY algebra.
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