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Entanglement, Soft Modes, and Celestial Holography

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arxiv 2308.12341 v2 pith:SJ56L74I submitted 2023-08-23 hep-th

Hong Zhe Chen , Robert C. Myers , Ana-Maria Raclariu This is my paper · ORCID
classification hep-th
keywords minkowskientanglementsoftentropyfuturemaxwellmilnemode
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relational entanglement entropies and quantum reference frames in gauge theories

    hep-th 2025-06 accept novelty 7.0 of 10

    Quantum reference frames built from Wilson lines give lattice gauge theories gauge-invariant subsystem factorizations and a hierarchy of relational entanglement entropies.

  2. Geometric modular flows in 2d CFT and beyond

    hep-th 2025-02 conditional novelty 7.0 of 10

    In 2d CFTs, every suitably regular Unruh flow on the Rindler wedge is the modular flow of a state obtained by a conformal unitary acting on the vacuum or thermal state, and local entropy and stress-tensor formulas follow.

  3. Conformal blocks from celestial graviton amplitudes

    hep-th 2025-01 conditional novelty 7.0 of 10

    The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.

  4. From Asymptotically Flat Gravity to Finite Causal Diamonds

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    The soft sector phase space of asymptotically flat gravity equals the phase space of radial size fluctuations of a finite causal diamond in flat spacetime.

  5. Celestial Quantum Error Correction II: From Qudits to Celestial CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    A GKP-style qudit code on a chain embedded in Klein spacetime is shown to flow, in the continuum limit, to a celestial CFT whose logical states carry quantized supertranslation hair protected from soft graviton errors.

  6. Effective density matrix for vacua in asymptotically flat gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    The vacuum of a large causal diamond in asymptotically flat gravity is claimed to be a Gaussian in the supertranslation Goldstone mode, giving modular Hamiltonian variance A/epsilon squared.

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