English

Boundary imprint of bulk causality

High Energy Physics - Theory 2025-01-24 v1

Abstract

Motivated by the holographic correspondence, we study the boundary imprint of bulk lightcones in spacetimes with boundaries. These lightcones can be observed whenever a localized event takes place in the bulk. The associated boundary surfaces (hyperboloids) reveal the bulk conformal metric. We work out a Hamilton-Jacobi description of these surfaces and analyze them in explicit examples. Bulk causality translates into a boundary inclusion property from which the bulk geodesic equation can be derived under some assumptions.

Keywords

Cite

@article{arxiv.2501.13182,
  title  = {Boundary imprint of bulk causality},
  author = {Simon Caron-Huot and Joydeep Chakravarty and Keivan Namjou},
  journal= {arXiv preprint arXiv:2501.13182},
  year   = {2025}
}

Comments

23 pages, 6 figures

R2 v1 2026-06-28T21:14:06.025Z