We explore the properties of polynomial Lagrangians for chiral p-forms previously proposed by the last named author, and in particular, provide a self-contained treatment of the symmetries and equations of motion that shows a great economy and simplicity of this formalism. We further use analogous techniques to construct polynomial democratic Lagrangians for general p-forms where electric and magnetic potentials appear on equal footing as explicit dynamical variables. Due to our reliance on the differential form notation, the construction is compact and universally valid for forms of all ranks, in any number of dimensions.

中文翻译：

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自由p形式的多项式对偶对称拉格朗日数

我们探讨了姓氏作者先前提出的手性p形式的多项式Lagrangian的性质，尤其是提供了对称性和运动方程式的独立式处理，显示了这种形式主义的经济性和简便性。我们进一步使用类似的技术为一般的p形式构造多项式民主的拉格朗日方程，其中电势和磁势作为明确的动态变量以相等的姿态出现。由于我们依赖于差异形式表示法，因此该结构紧凑，并且对于所有级别的任何尺寸的形式的通用结构均有效。