{
  "id": "2404.03062",
  "version": "v1",
  "published": "2024-04-03T21:04:56.000Z",
  "updated": "2024-04-03T21:04:56.000Z",
  "title": "Simulating Holographic Conformal Field Theories on Hyperbolic Lattices",
  "authors": [
    "Santanu Dey",
    "Anffany Chen",
    "Pablo Basteiro",
    "Alexander Fritzsche",
    "Martin Greiter",
    "Matthias Kaminski",
    "Patrick M. Lenggenhager",
    "Rene Meyer",
    "Riccardo Sorbello",
    "Alexander Stegmaier",
    "Ronny Thomale",
    "Johanna Erdmenger",
    "Igor Boettcher"
  ],
  "comment": "5 pages",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "gr-qc",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-03T21:04:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal field theory",
      "simulating holographic conformal field theories",
      "model simulates gravitational self-interactions",
      "toy model simulates gravitational",
      "holographic toy model simulates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}