论文标题
在广告中的操作员代数
Algebra of operators in an AdS-Rindler wedge
论文作者
论文摘要
我们讨论了ADS-RINLDER WEDGE中运营商的代数，特别是在ADS $ _ {5} $/CFT $ _ {4} $中。我们在$ n = \ infty $限制下明确构建代数，并讨论其类型III $ _ {1} $ nature。我们将考虑对理论的$ 1/n $校正，并使用一种重新归一化的Ryu-Takayanagi表面区域的新颖方式，描述如何将几个分歧重新归一化，而代数变为II型$ _ {\ infty} $。这将使将密度矩阵与希尔伯特空间中的任何状态相关联成为可能，从而将von Neumann熵关联起来。
We discuss the algebra of operators in AdS-Rinlder wedge, particularly in AdS$_{5}$/CFT$_{4}$. We explicitly construct the algebra at $N=\infty$ limit and discuss its Type III$_{1}$ nature. We will consider $1/N$ corrections to the theory and using a novel way of renormalizing the area of Ryu-Takayanagi surface, describe how several divergences can be renormalized and the algebra becomes Type II$_{\infty}$. This will make it possible to associate a density matrix to any state in the Hilbert space and thus a von Neumann entropy.
