@article{Dey:2024,
    title               = {Simulating Holographic Conformal Field Theories on Hyperbolic Lattices}, 
    author              = {Santanu Dey and Anffany Chen and Pablo Basteiro and Alexander Fritzsche and Martin Greiter and Matthias Kaminski and Patrick M. Lenggenhager and Rene Meyer and Riccardo Sorbello and Alexander Stegmaier and Ronny Thomale and Johanna Erdmenger and Igor Boettcher},
    journal             = {arXiv preprint},
    year                = {2024},
    doi                 = {10.48550/arXiv.2404.03062},
    url                 = {https://arxiv.org/abs/2404.03062}
    eprint              = {2404.03062},
    eprintType          = {arXiv},
    archivePrefix       = {arXiv}
}

S. Dey, A. Chen, P. Basteiro, A. Fritzsche, M. Greiter, M. Kaminski, P. M. Lenggenhager, R. Meyer, R. Sorbello, A. Stegmaier, R. Thomale, J. Erdmenger, and I. Boettcher

arXiv:2404.03062 (2024) – Published 05 Apr 2024

We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally lead to a genuine realization of the bulk-boundary-correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our concrete and broadly applicable holographic toy model simulates gravitational self-interactions in the bulk and features an emergent CFT with nontrivial correlations on the boundary. We measure the CFT data contained in the two- and three-point functions and clarify how a thermal CFT is simulated through an effective black hole geometry. As a concrete example, we propose and simulate an experimentally feasible protocol to measure the holographic CFT using electrical circuits.