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arXiv · 2501.13182

Boundary imprint of bulk causality

Simon Caron-Huot·Joydeep Chakravarty·Keivan Namjou
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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.

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Simon Caron-Huot, Joydeep Chakravarty, Keivan Namjou. 2025-01-22. Boundary imprint of bulk causality. https://arxiv.org/abs/2501.13182

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