Entanglement, Soft Modes, and Celestial Holography
Abstract
We evaluate the vacuum entanglement entropy across a cut of future null infinity for free Maxwell theory in four-dimensional Minkowski spacetime. The Weyl invariance of 4D Maxwell theory allows us to embed the Minkowski spacetime inside the Einstein static universe. The Minkowski vacuum can then be described as a thermofield double state on the (future) Milne wedges of the original and inverted Minkowski patches. We show that the soft mode contribution to entanglement entropy is due to correlations between asymptotic charges of these Milne wedges or, equivalently, nontrivial conformally soft (or edge) mode configurations at the entangling surface.
Cite
@article{arxiv.2308.12341,
title = {Entanglement, Soft Modes, and Celestial Holography},
author = {Hong Zhe Chen and Robert C. Myers and Ana-Maria Raclariu},
journal= {arXiv preprint arXiv:2308.12341},
year = {2025}
}
Comments
9 pages, 4 figures; slight reorganization and shortening in v2 for published version; references added; minor typos corrected