论文标题
关于基于换向器的矢量旋转非线性超对称性和Rarita-Schinginger场的线性化
On commutator-based linearization of vector-spinor nonlinear supersymmetry and Rarita-Schwinger fields
论文作者
论文摘要
We discuss the linearization of vector-spinor (spin-3/2) nonlinear supersymmetry (vsNLSUSY) transformations for both $N = 1$ and $N$-extended SUSY in flat spacetime based on the commutator algebra by using functionals (composites) of spin-3/2 Nambu-Goldstone (NG) fermions, which are expressed as simple products of powers of the spin-3/2 NG vsnlsusy理论中的费米子和基本决定因素。我们在线性化的VSSUSY理论中通过这些功能来定义基本组件字段，包括Spin-3/2字段，一般辅助和$ d $ term。组件字段的线性（刚性）VSSY变换的一般形式是根据基于换向器的线性化过程唯一确定的。通过考虑$ n = 1 $ susy的Spin-3/2 ng费米的功能的适当重组，我们发现VSNLSUSY转换下重组的变化包括线性旋转1/2 Spin-（3/2，1）字段的线性旋转1/2 susy，$ u（1）$ u（1）$ eguge novariance。还与$ u（1）$量规不变性一起讨论了Rarita-Schinginger动作中Rarita-Schwinger动作的旋转量规不变性。
We discuss the linearization of vector-spinor (spin-3/2) nonlinear supersymmetry (vsNLSUSY) transformations for both $N = 1$ and $N$-extended SUSY in flat spacetime based on the commutator algebra by using functionals (composites) of spin-3/2 Nambu-Goldstone (NG) fermions, which are expressed as simple products of powers of the spin-3/2 NG fermions and a fundamental determinant in the vsNLSUSY theory. We define basic component fields by means of those functionals in a linearized vsSUSY theory including spin-3/2 fields, general auxiliary ones and a $D$-term. The general forms of linear (rigid) vsSUSY transformations for the component fields are determined uniquely from the commutator-based linearization procedure. By considering appropriate recombinations of the functionals of the spin-3/2 NG fermions for $N = 1$ SUSY, we find that variations of the recombinations under the vsNLSUSY transformations include linear spin-1/2 SUSY ones of spin-(3/2, 1) fields with $U(1)$ gauge invariance. The spinorial gauge invariance of the Rarita-Schwinger action in the linearization process is also discussed together with the $U(1)$ gauge invariance.
