Interacting systems and wormholes

Abstract

We consider a class of tripartite systems for which two $d$-dimensional QFTs are cross-coupled via a third $d+1$-dimensional "messenger" QFT. We analyse in detail the example of a pair of one-dimensional matrix quantum mechanics, coupled via a two-dimensional theory of the BF-type and compute its partition function and simple correlators. This construction is extendible in higher dimensions, using a Chern-Simons "messenger" theory. In all such examples, the exact partition function acquires a form, speculated to correspond to systems dual to Euclidean wormholes and the cross correlators are sufficiently soft and consistent with analogous gravitational calculations. Another variant of the tripartite system is studied, where the messenger theory is described by a non-self-interacting (matrix)-field, reaching similar conclusions. While the Euclidean theories we consider are perfectly consistent, the two possible analytic continuations into Lorentzian signature (messenger vs. boundary QFT directions) of the tripartite models, reveal physical features and "pathologies" resembling those of the expected Lorentzian gravitational backgrounds.

89 pages, discussion on the Hilbert space structure, published version

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• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Cosmologies inside hyperbolic black holes
• Baby Universes born from the Void
• Baby universes, ensemble averages and factorizations with matters
• On SYK traversable wormhole with imperfectly correlated disorders
• Factorization and global symmetries in holography