Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 2 (2006), 009, 5 pages      math-ph/0601059      https://doi.org/10.3842/SIGMA.2006.009

On Action Invariance under Linear Spinor-Vector Supersymmetry

Kazunari Shima and Motomu Tsuda
Laboratory of Physics, Saitama Institute of Technology, Okabe-machi, Saitama 369-0293, Japan

Received October 21, 2005, in final form January 10, 2006; Published online January 24, 2006

Abstract
We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. A (generalized) gauge invariance of the Lagrangian for the RS field is also discussed.

Key words: spinor-vector supersymmetry; Rarita-Schwinger field.

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