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PreprintarXiv licencearXiv

Multipartite Entanglement Can Probe Wormhole Moduli Invisible to Bipartite Entanglement

Abstract

In a companion paper, we found that near the untwisted point of a four-boundary AdS3 wormhole, whenever the complete bipartite Ryu-Takayanagi entropy vector is insensitive to a Fenchel-Nielsen twist, the holographic q=4 multi-entropy is insensitive as well. Here we show that the situation changes at finite twist. The twist lengthens the crossing geodesics and thereby enlarges the region in which all bipartite RT entropies remain invariant. In part of this enlarged region, a twist-sensitive q=4 network becomes globally minimal. We thus find an open region of wormhole moduli space in which the complete bipartite RT entropy vector is exactly unchanged while the q=4 multi-entropy detects the twist. Our result provides an explicit example in which the q=4 genuine multi-entropy probes bulk geometric information invisible to all bipartite entanglement entropies.

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BibTeX
@misc{anegawa2026multipartite,
  title = {{Multipartite Entanglement Can Probe Wormhole Moduli Invisible to Bipartite Entanglement}},
  author = {Takanori Anegawa and Norihiro Iizuka},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37395},
  eprint = {2609.37395},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37395},
}
RIS
TY  - UNPB
TI  - Multipartite Entanglement Can Probe Wormhole Moduli Invisible to Bipartite Entanglement
AU  - Takanori Anegawa
AU  - Norihiro Iizuka
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37395
UR  - https://arxiv.org/abs/2609.37395
AB  - In a companion paper, we found that near the untwisted point of a four-boundary AdS_3 wormhole, whenever the complete bipartite Ryu-Takayanagi entropy vector is insensitive to a Fenchel-Nielsen twist, the holographic q=4 multi-entropy is insensitive as well. Here we show that the situation changes at finite twist. The twist lengthens the crossing geodesics and thereby enlarges the region in which all bipartite RT entropies remain invariant. In part of this enlarged region, a twist-sensitive q=4 network becomes globally minimal. We thus find an open region of wormhole moduli space in which the complete bipartite RT entropy vector is exactly unchanged while the q=4 multi-entropy detects the twist. Our result provides an explicit example in which the q=4 genuine multi-entropy probes bulk geometric information invisible to all bipartite entanglement entropies.
ER  -