Following the Hamiltonian structure of bi-gravity and multi-gravity models in the full phase space, we have constructed the generating functional of diffeomorphism gauge symmetry. As is expected, this generator is constructed from the first class constraints of the system. We show that this gauge generator works well in giving the gauge transformations of the canonical variables.

中文翻译：

---

用于双重力和多重力模型的量规生成器

遵循全相空间中双引力和多引力模型的哈密顿结构，我们构造了亚纯规范对称性的生成函数。不出所料，此生成器是根据系统的第一类约束构造的。我们证明了该量表生成器在给出规范变量的量表转换方面效果很好。