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arXiv · 2209.02940

Emergent bulk gauge field in random tensor networks

Xiao-Liang Qi
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Abstract

Random tensor network states are toy models for holographic duality, which have entanglement properties determined by graph geometry. In this paper, we propose a generalization of the random tensor network states which describe an ensemble of states preserving a given global symmetry. We show that Renyi entropy for this family of states can be described by a quantum extremal surface formula, with corrections to the area law term determined by a bulk gauge theory wavefunction. This provides a toy model of the correspondence between boundary global symmetry and bulk gauge symmetry in holographic duality. We discuss the boundary physical consequences of the bulk deconfined and confined phases.

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Xiao-Liang Qi. 2022-09-07. Emergent bulk gauge field in random tensor networks. https://doi.org/10.1142/9789811264153_0016

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