Can Multipartite Entanglement Probe Wormhole Moduli Invisible to Bipartite Entanglement?

@misc{iizuka2026multipartite,
  title = {{Can Multipartite Entanglement Probe Wormhole Moduli Invisible to Bipartite Entanglement?}},
  author = {Norihiro Iizuka},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37394},
  eprint = {2609.37394},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37394},
}

TY  - UNPB
TI  - Can Multipartite Entanglement Probe Wormhole Moduli Invisible to Bipartite Entanglement?
AU  - Norihiro Iizuka
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37394
UR  - https://arxiv.org/abs/2609.37394
AB  - We ask whether multipartite entanglement can probe bulk moduli invisible to bipartite entanglement. We study this question in an explicit family of four-boundary AdS_3 wormholes related by a Fenchel-Nielsen twist τ, asking whether the complete set of bipartite RT entropies can remain exactly τ-independent while the holographic q=4 multi-entropy is sensitive to the twist. Within the class of configurations analyzed here, for sufficiently small |τ|, we find no such regime along the symmetric line ℓ=m: the globally minimal q=4 network is itself exactly τ-independent throughout the parameter range analyzed. This conclusion is not a priori obvious: it emerges from a competition among several admissible configurations whose relative ordering changes multiple times as the geometry is varied, and persists up to the point where the bipartite RT entropies themselves become twist-sensitive.
ER  -