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HOLOGRAPHY, QUANTUM GRAVITY AND CONFINEMENT*

机译:全息,量子引力和约束*

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摘要

In the holographic dictionary between gauge theory in four dimensions and gravity in five dimensions, there is an encoding in the bulk geometry of the phases of the gauge theory. If the correspondence holds at all scales, it is natural to expect that gauge theory contains information about quantum gravity in one higher dimension. We argue that the confining phase of gauge theory has a correspondence with singularity avoidance in quantum gravity. This comes from the observation that confinement appears to be generically associated with repulsion deep in the bulk on the gravity side, which in turn is a consequence of the violation of energy conditions in quantum gravity that lead to singularity avoidance.
机译:在四个维度的规范理论与五个维度的重力之间的全息词典中,规范理论的各相的整体几何结构中都有一个编码。如果对应关系在所有尺度上都成立,那么可以自然地期望轨距理论在一个更高维度上包含有关量子引力的信息。我们认为,规范理论的局限性阶段与量子引力中避免奇点有关。这来自于这样的观察,即约束似乎一般与重力侧深处的排斥力有关,这又是由于量子引力中违反能量条件而导致避免奇点的结果。

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