Connections between reflected entropies and hyperbolic string vertices

Abstract

In this paper, we establish connections between reflected entropies of multipartite mixed states in CFT${}_2$ and hyperbolic string vertices of closed string field theory (CSFT). We show that the reflected surfaces, which are bulk duals of the reflected entropies, share the same Riemann surfaces with the hyperbolic string vertices. This observation enables us to build quantitative relations between the reflected entropies and hyperbolic string vertices. We illustrate the connections with several examples. Consequently, we propose that spacetime structure could be directly generated from the hyperbolic string vertices. The advantage of the hyperbolic string vertices approach is that we have a dynamical equation, the Batalin-Vilkoviski master equation, to control the generating process.

arXiv commentv1: 27 pages, 23 figures; v2: 28 pages, 23 figures, added discussions about wormholes in sec. 3.1, OSFT and entanglement purification in sec. 4, and baby universes in sec. 5, typos corrected, references added; v3: published version

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• Encoded information of mixed correlations: the views from one dimension higher
• String Scattering and Evolution of Ryu-Takayanagi Surface