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Duality and unitarity of massive spin-3/2 models in $$D=2+1$$ D = 2 + 1
The European Physical Journal Plus ( IF 3.4 ) Pub Date : 2020-10-09 , DOI: 10.1140/epjp/s13360-020-00841-7
E. L. Mendonça , H. L. de Oliveira , P. H. F. Nogueira

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.



中文翻译:

$$ D = 2 + 1 $$ D = 2 + 1中大规模自旋3/2模型的对偶性和统一性

在这项工作中,我们提供了一个三重主动作,可以在\(D = 2 + 1 \)维的质量自旋3/2粒子的三个自对偶描述中进行插值。这样的结果概括了文献中先前提出的主要动作。我们还表明,令人惊讶的是,在自旋2和3的强子波情况下应用的差分算子的速记符号也可以定义为铁离子情况。在投影算子的帮助下,我们还获得了传播子,并分析了二阶spin-3 / 2 doublet模型的D维度上的单一性。一旦我们证明了该二重态模型没有重影,我们便提供了一个主动作,该动作用四阶理论对这种模型进行插值,该理论与spin-2线性化的新质量重力理论有几处相似之处。

更新日期:2020-10-11
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