Abstract

We review some fundamental aspects of mixed symmetry tensor gauge theories using a formulation based on graded geometry. In particular, we are able to construct kinetic, mass and Galileon-type higher derivative interaction terms for such fields. The resulting elegant geometric formulas allow for shared features of these theories to be highlighted and for possible interaction terms to be classified. In addition, we argue that this formalism is very useful in studying dualities. In particular, we construct a universal first order Lagrangian that may serve as the starting point for the off shell dualizations of differential form gauge theories and generalized gravitons.

中文翻译：

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渐变几何，张量伽利略和对偶

摘要

我们使用基于渐变几何的公式回顾混合对称张量规理论的一些基本方面。特别是，我们能够为此类场构造动力学，质量和伽利略型高阶导数相互作用项。由此产生的优雅几何公式可以突出显示这些理论的共同特征，并可以对可能的交互作用术语进行分类。此外，我们认为这种形式主义在研究二元性方面非常有用。特别是，我们构造了一个通用的一阶拉格朗日算子，该算子可以作为差分形式规范理论和广义引力子的脱壳二元化的起点。