论文标题
纠缠的定义
Definitions of entwinement
论文作者
论文摘要
纠缠首先是作为CFT双重到商广告$ _3 $空间的CFT双重非最小地球。这是启发性的目的是捕获内部,测量自由度的纠缠,例如在D1/D5 Brane系统的对称产品Orbifold CFT中。现在,文献包含纠缠的不同,有时甚至不等的现场理论定义。在本文中,我们构建了对称产品Orbifold CFTS的离散晶格模型,并明确构建了一个量规的降低密度矩阵,其von Neumann熵与链接的全息计算一致。提炼早期的概念,我们的构造意义重大,意义于在特定长度长的长串内给定尺寸的间隔的纠缠。我们讨论与以前的纠缠定义的相似性和差异。
Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS$_3$ spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The literature now contains different, and sometimes inequivalent, field theory definitions of entwinement. In this paper, we build a discretized lattice model of symmetric product orbifold CFTs, and explicitly construct a gauge-invariant reduced density matrix whose von Neumann entropy agrees with the holographic computation of entwinement. Refining earlier notions, our construction gives meaning to the entwinement of an interval of given size within a long string of specific length. We discuss similarities and differences with previous definitions of entwinement.