标题： 关于环量子宇宙学运动学的唯一性 显示英文标题

标题： On the Uniqueness of Kinematics of Loop Quantum Cosmology

摘要： 环量子引力的全纯-通量代数$\A$已知可以接受一个自然表示，该表示通过空间微分同胚下的协变性要求而唯一确定。 在宇宙学背景下，空间齐次性的要求自然地将$\A$简化为一个更小的代数$\A_{\rm Red}$，该代数在环量子宇宙学中被使用。 在 Bianchi I 模型中，显示在\emph{残差}微分同胚对称性下的协变性要求再次唯一地选择了$\A_{\rm Red}$的表示，该表示已被普遍使用。 我们讨论这两个唯一性结果之间的紧密类比，并指出一个不同之处。 显示英文摘要

摘要： The holonomy-flux algebra $\A$ of loop quantum gravity is known to admit a natural representation that is uniquely singled out by the requirement of covariance under spatial diffeomorphisms. In the cosmological context, the requirement of spatial homogeneity naturally reduces $\A$ to a much smaller algebra, $\A_{\rm Red}$, used in loop quantum cosmology. In Bianchi I models, it is shown that the requirement of covariance under \emph{residual} diffeomorphism symmetries again uniquely selects the representation of $\A_{\rm Red}$ that has been commonly used. We discuss the close parallel between the two uniqueness results and also point out a difference.