Tensor network models of multiboundary wormholes

Peach, Alex; Ross, Simon F.

Abstract

We study the entanglement structure of states dual to multiboundary wormhole geometries using tensor network models. Perfect and random tensor networks tiling the hyperbolic plane have been shown to provide good models of the entanglement structure in holography. We extend this by quotienting the plane by discrete isometries to obtain models of the multiboundary states. We show that there are networks where the entanglement structure is purely bipartite, extending results obtained in the large temperature limit. We analyse the entanglement structure in a range of examples.

Citation

Peach, A., & Ross, S. F. (2017). Tensor network models of multiboundary wormholes. Classical and Quantum Gravity, 34(10), Article 105011. https://doi.org/10.1088/1361-6382/aa6b0f

• Journal Article Type: Article
• Acceptance Date: Apr 4, 2017
• Online Publication Date: Apr 24, 2017
• Publication Date: May 18, 2017
• Deposit Date: Apr 11, 2017
• Publicly Available Date: Apr 24, 2018
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 34
• Issue: 10
• Article Number: 105011
• DOI: https://doi.org/10.1088/1361-6382/aa6b0f
• Public URL: https://durham-repository.worktribe.com/output/1360779
• Related Public URLs: https://arxiv.org/abs/1702.05984