Using light-cone gauge formulation, massive arbitrary spin irreducible fields and massless (scalar and spin one-half) fields in three-dimensional flat space are considered. Both the integer spin and half-integer spin fields are studied. For such fields, we provide classification for cubic interactions and obtain explicit expressions for all cubic interaction vertices. We study two forms of the cubic interaction vertices which we refer to as first-derivative form and higher-derivative form. All cubic interaction vertices are built by using the first-derivative form.

中文翻译：

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3d平面空间中任意自旋场的三次相互作用

使用圆锥锥规，在三维平面空间中考虑了巨大的任意自旋不可约场和无质量（标量和自旋二分之一）场。研究了整数自旋场和半整数自旋场。对于此类字段，我们提供了三次相互作用的分类，并获得了所有三次相互作用顶点的显式表达式。我们研究了三次交互顶点的两种形式，分别称为一阶导数形式和高阶导数形式。所有三次相互作用顶点都是使用一阶导数形式构建的。