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Interacting systems and wormholes

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arxiv 2110.14655 v3 pith:YYBP7OK5 submitted 2021-10-27 hep-th

Panos Betzios , Elias Kiritsis , Olga Papadoulaki This is my paper · ORCID
classification hep-th
keywords messengersystemstheorytripartiteconsiderconsistentcorrelatorsdimensional
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 4 Pith papers

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