论文标题
D-Brane全息图中的规格不变目标空间纠缠
Gauge Invariant Target Space Entanglement in D-Brane Holography
论文作者
论文摘要
在Arxiv：2004.00613中已经提出，在DP-Brane全息图中，D-Brane Yang-Mills理论的目标空间中的纠缠提供了重力双重笨重纠缠的精确概念。我们通过提供与此类纠缠相对应的操作员子代数的规范表征来扩展这一讨论。这是通过找到一个投射操作员来实现的，该投影操作员施加了表征目标空间区域的约束。通过考虑库仑分支中的探针麸皮，我们为为什么我们认为的操作员子代数为何适用于描述在相应的散装区域中使用低能探针进行的一类测量。我们根据路径积分来得出相应的Renyi熵的表达式，可以直接在数值计算中使用。
It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coulomb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations.
