We introduce a new family of coherent states for loop quantum gravity, inspired by the twisted geometry parametrization. We compute their peakedness properties and compare them with the heat-kernel coherent states. They show similar features for the area and the holonomy operators, but improved peakedness in the direction of the flux. At the gauge-invariant level, the new family is built from tensor products of coherent intertwiners. To study the peakedness of the holonomy operator, we introduce a new shift operator based on the harmonic oscillator representation associated with the twisted geometry parametrization. The new shift operator captures the components of the holonomy relevant to disentangle its action into a simple positive shift of the spins.

中文翻译：

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环量子引力的扭曲几何相干态

受扭曲几何参数化的启发，我们为循环量子引力引入了一系列新的相干态。我们计算它们的峰值特性并将它们与热核相干状态进行比较。它们显示了区域和完整算子的相似特征，但改进了通量方向的峰值。在规范不变级别，新系列是由相干交织器的张量积构建而成的。为了研究完整算子的峰值，我们基于与扭曲几何参数化相关的谐振子表示引入了一个新的移位算子。新的移位算子捕获了完整的组件，以将其动作分解为简单的自旋正移位。