论文标题
矩阵模型中的目标空间纠缠
Target space entanglement in Matrix Models
论文作者
论文摘要
我们研究了测量多矩阵模型中的目标空间纠缠，这是由平面纠缠表面隔开的D-Branes组之间的纠缠模型，非常关注规范不变性的实施。我们通过对相同粒子之间的目标空间纠缠进行回顾，该粒子与我们的主要问题共享了一些重要的特征（特别是测量置换对称性）。对于我们的矩阵模型，我们实施了固定符合纠缠表面的量规固定。在此规格中，我们将矩阵模型问题映射到$ u（1）$ gauge理论的纠缠问题上，该理论是完整或全面的晶格。对应于跨目标空间中纠缠表面的开放串的矩阵元素会为纠缠熵做出有趣的贡献。
We study target space entanglement in gauged multi-matrix models as models of entanglement between groups of D-branes separated by a planar entangling surface, paying close attention to the implementation of gauge invariance. We open with a review of target space entanglement between identical particles, which shares some important features (specifically a gauged permutation symmetry) with our main problem. For our matrix models, we implement a gauge fixing well-adapted to the entangling surface. In this gauge, we map the matrix model problem to that of entanglement of a $U(1)$ gauge theory on a complete or all-to-all lattice. Matrix elements corresponding to open strings stretching across the entangling surface in the target space lead to interesting contributions to the entanglement entropy.
