量子几何映射及其性质
Quantum geometric maps and their properties
摘要：
量子几何映射是四维量子引力的自旋泡沫模型（和张量群场论）的重要组成部分，它将SU（2）自旋网络和洛伦兹协变投影自旋网络联系起来。我们给出了一个一般的定义，这样的地图，包括所有目前的自旋泡沫模型，我们调查他们的属性在这样一个一般的水平。然后，我们专门的定义，看看简单性约束的精确实现如何影响特定模型中的量子几何映射的功能。
英文摘要：
Quantum geometric maps, which relate SU(2) spin networks and Lorentz covariant projected spin networks, are an important ingredient of spin foam models (and tensorial group field theories) for 4-dimensional quantum gravity. We give a general definition of such maps, that encompasses all current spin foam models, and we investigate their properties at such a general level. We then specialize the definition to see how the precise implementation of simplicity constraints affects features of the quantum geometric maps in specific models.
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