论文标题
建立全息状态的张量网络
Building Tensor Networks for Holographic States
论文作者
论文摘要
我们在二维全息形成式田间理论中讨论了一个单参数的国家家族，该理论是通过双重散装几何形状中有效理论的欧几里得路径积分构建的。所讨论的有效理论是CFT在$ t \叠加{t} $变形下流动，该变形将边界CFT朝向批量反射对称切片。我们建议，CFT中的这些新型欧几里得路径积分可以解释为连续张量网络（CTN）状态。我们认为，这些CTN状态满足边界间隔的纠缠熵上的ryu-takayanagi最小面积上限，其系数等于$ \ frac {1} {4G_N} $;对应于大量时间反射对称切片的CTN使该结合饱和。我们还认为，CFT中的原始状态可以写成此类CTN状态的叠加，相应的波函数是批量的Hartle-Hawking波函数。
We discuss a one-parameter family of states in two-dimensional holographic conformal field theories which are constructed via the Euclidean path integral of an effective theory on a family of hyperbolic slices in the dual bulk geometry. The effective theory in question is the CFT flowed under a $T\overline{T}$ deformation, which "folds" the boundary CFT towards the bulk time-reflection symmetric slice. We propose that these novel Euclidean path integral states in the CFT can be interpreted as continuous tensor network (CTN) states. We argue that these CTN states satisfy a Ryu-Takayanagi-like minimal area upper bound on the entanglement entropies of boundary intervals, with the coefficient being equal to $\frac{1}{4G_N}$; the CTN corresponding to the bulk time-reflection symmetric slice saturates this bound. We also argue that the original state in the CFT can be written as a superposition of such CTN states, with the corresponding wavefunction being the bulk Hartle-Hawking wavefunction.
