Group field theory and holographic tensor networks: dynamical corrections to the Ryu–Takayanagi formula
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Publication:5161984
DOI10.1088/1361-6382/AB7BB9zbMATH Open1479.83076arXiv1903.07344OpenAlexW2921373390MaRDI QIDQ5161984
Author name not available (Why is that?)
Publication date: 1 November 2021
Published in: (Search for Journal in Brave)
Abstract: We introduce group field theory networks as a generalization of spin networks and of (symmetric) random tensor networks and provide a statistical computation of the R'enyi entropy for a bipartite network state using the partition function of a simple interacting group field theory. The expectation value of the entanglement entropy is calculated by an expansion into stranded Feynman graphs and is shown to be captured by a Ryu- Takayanagi formula. For a simple interacting group field theory, we can prove the linear corrections, given by a polynomial perturbation of the Gaussian measure, to be negligible for a broad class of networks.
Full work available at URL: https://arxiv.org/abs/1903.07344
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