标题： D=1+2 (反)德西特引力与拓扑物质耦合模型的环量化 显示英文标题

标题： Loop Quantization of a Model for D=1+2 (Anti)de Sitter Gravity Coupled to Topological Matter

摘要： 我们提出了一个包含宇宙学常数的洛伦兹D=1+2引力的完整量子化，该引力与一组拓扑物质场耦合。 由于部分规范固定保留了在紧致半单规范群下的剩余规范不变性，即Spin(4) = SU(2) x SU(2)，因此使用了环量子引力的方法。 构造了一对量子可观测量，尽管在经典层面上它们为零，但它们是非平凡的。 显示英文摘要

摘要： We present a complete quantization of Lorentzian D=1+2 gravity with cosmological constant, coupled to a set of topological matter fields. The approach of Loop Quantum Gravity is used thanks to a partial gauge fixing leaving a residual gauge invariance under a compact semi-simple gauge group, namely Spin(4) = SU(2) x SU(2). A pair of quantum observables is constructed, which are non-trivial despite of being null at the classical level.