jt gravity

holographic dual

entanglement wedge

holographic entanglement entropy

anti-de sitter

Physical Review Letters

We propose a new class of tensor network state as a model for the $\mathrm{AdS}/\mathrm{CFT}$ correspondence and holography. This class is demonstrated to retain key features of the multiscale entanglement renormalization ansatz (MERA), in that they describe quantum states with algebraic correlation functions, have free variational parameters, and are efficiently contractible. Yet, unlike the MERA, they are built according to a uniform tiling of hyperbolic space, without inherent directionality or preferred locations in the holographic bulk, and thus circumvent key arguments made against the MERA as a model for $\mathrm{AdS}/\mathrm{CFT}$. Novel holographic features of this tensor network class are examined, such as an equivalence between the causal cones $\mathcal{C}(\mathcal{R})$ and the entanglement wedges $\mathcal{E}(\mathcal{R})$ of connected boundary regions $\mathcal{R}$.

Hyperinvariant Tensor Networks and Holography