论文标题
$ d = 2+1 $的二元性和单位性
Duality and unitarity of massive spin-3/2 models in $D=2+1$
论文作者
论文摘要
在这项工作中，我们在$ d = 2+1 $尺寸的三个自式旋转-3/2粒子的三个自偶式描述中提供了三重主操作。这样的结果概括了文献中先前提出的一项主操作。我们还表明，出乎意料的是，在旋转2和3的玻体病例中应用的差分运算符方面，也可以将其定义为费尔米金情况。借助投影运算符，我们还获得了繁殖器，并在第二阶spin-3/2 Doublet模型的$ d $尺寸中分析了单位性。一旦我们证明了这种双重模型没有鬼魂，我们就会提供一种用第四阶理论插值的主操作，该模型与Spin-2线性化新的大型重力理论具有几个相似之处。
In this work we provide a triple master action interpolating among three self-dual descriptions of massive spin-3/2 particles in $D=2+1$ dimensions. Such result generalizes a master action previously suggested in the literature. We also show that, surprisingly a shorthand notation in terms of differential operators applied in the bosonic cases of spins 2 and 3, can also be defined to the fermionic case. With the help of projection operators, we have also obtained the propagator and analyzed unitarity in $D$ dimensions of a second order spin-3/2 doublet model. Once we demonstrate that this doublet model is free of ghosts, we provide a master action interpolating such model with a fourth order theory which has several similarities with the spin-2 linearized New Massive Gravity theory.
