论文标题
全息量子奇异性
Holographic quantum singularity
论文作者
论文摘要
在这项研究中，我们在分析上考虑了三维WEYL半学及其全息模型中的位错。起源于位错的量子奇异性在动量空间中产生缺陷。该缺陷导致拓扑保护的零能量模式与量子奇异性结合。缺陷有两个方面：首先，它阻止了拓扑绕组数的形成。其次，它在自身周围提供了另一个拓扑编号。仪表场调整了缺陷的这些效果，并且可以控制相变。此外，从全息二元性来看，量子奇异性被映射到经典重力的域壁上。我们发现域壁会导致违反批量时空的规格不变性。我们还证明，量子奇异性与块状时空的量规破坏的异常相媲美，全息纠缠熵揭示了在动量空间缺陷中编码的信息。
In this study, we have analytically considered a dislocation in three-dimensional Weyl semimetal and its holographic model. A quantum singularity that originated in the dislocation creates a defect in momentum space. This defect causes topologically protected zero-energy mode bound to the quantum singularity. The defect has two aspects: First, it prevents the formation of a topological winding number. Second, it provides another topological number around itself. The gauge field adjusts these effects of the defect, and it is possible to control the phase transition. Further, from holographic duality, the quantum singularity is mapped onto a domain wall of classical gravity. We find that the domain wall causes a violation of gauge invariance of bulk spacetime. We also demonstrate that the quantum singularity is comparable to the anomaly from the gauge invariance breaking of the bulk spacetime, and holographic entanglement entropy reveals the information encoded in the defect of momentum space.
