关于矢量旋量非线性超对称性和Rarita-Schwinger场的线性化
On commutator-based linearization of vector-spinor nonlinear supersymmetry and Rarita-Schwinger fields
摘要：
利用自旋为3/2的Nambu-Goldstone（NG）费米子的泛函（复合泛函）讨论了平坦时空中$N = 1$和$N$ -扩展超对称矢量旋量（自旋为3/2）非线性超对称（vsNLSUSY）变换的线性化.我们利用线性vsSUSY理论中的泛函定义了基本分量场，包括自旋3/2场、一般辅助场和一个$D$ -项.从基于离散算子的线性化过程中唯一地确定了分量场的线性（刚性）vsSUSY变换的一般形式。通过对$N = 1$超对称系统中自旋3/2 NG费米子泛函的适当重组，我们发现在vsNLSUSY变换下的重组变化包括具有$U(1)$规范不变性的自旋（3/2，1）场的线性自旋1/2超对称.讨论了线性化过程中Rarita-Schwinger作用量的旋量规范不变性和$U(1)$规范不变性。
英文摘要：
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 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.
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