2021/10/31 by Panos Betzios, Elias Kiritsis, Olga Papadoulaki
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Classical mechanics #Euclidean geometry #Geometry #Gravitation #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum field theory #Quantum mechanics #Simple (philosophy) #Theoretical physics #Wormhole #hep-th
paper · pdf · doi:10.1007/jhep02(2022)126
89 pages, discussion on the Hilbert space structure, published version
openalex publication_date 2022/02/01 · arxiv created 2022/02/04 · arxiv updated 2022/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.