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Higher order self-dual models for spin-3 particles in D=2+1

机译：D = 2 + 1中spin-3粒子的高阶自对偶模型

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摘要

In D = 2 + 1 dimensions, elementary particles of a given helicity can be described by local Lagrangians (parity singlets). By means of a “soldering” procedure, two opposite helicities can be joined together and give rise to massive spin- s particles carrying both helicities ± s (parity doublets), and such Lagrangians can also be used in D = 3 + 1 to describe massive spin- s particles. From this point of view the parity singlets (self-dual models) in D = 2 + 1 are the building blocks of real massive elementary particles in D = 3 + 1 . In the three cases s = 1 , 3 / 2 , 2 there are 2 s self-dual models of order 1 , 2 , … , 2 s in derivatives. In the spin-3 case the fifth order model is missing in the literature. Here we deduce a fifth order spin-3 self-dual model and fill up this gap. It is shown to be ghost free by means of a master action which relates it with the top model of sixth order. We believe that our approach can be generalized to arbitrary integer spin- s in order to obtain the models of order 2 s and 2 s ? 1 . We also comment on the difficulties in relating the fifth order model with their lower order duals.
机译：在D = 2 +1维中，给定螺旋度的基本粒子可以用局部拉格朗日（奇偶性单峰）描述。通过“焊接”程序，可以将两个相对的螺旋线连接在一起，并产生带有两个螺旋线±s（奇偶校验双峰）的块状自旋粒子，这样的拉格朗日算子也可以用D = 3 +1来描述巨大的自旋粒子。从这个角度来看，D = 2 +1中的奇偶单重态（自对偶模型）是D = 3 +1中实际质量基本粒子的构造块。在这三种情况下，s = 1、3 / 2、2有2 s个阶为1，2，…，2 s的自对偶模型。在旋转3的情况下，文献中缺少五阶模型。在这里，我们推导了一个五阶spin-3自对偶模型并填补了这一空白。通过将其与六阶顶级模型相关联的主要动作，它被证明是无鬼影的。我们相信我们的方法可以推广到任意整数自旋，以获得2 s和2 s阶的模型。 1。我们还评论了将五阶模型与其低阶对偶联系起来的困难。

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