Validity of the Swampland SWSSB conjecture beyond the holographic model

Determine whether the proposed Swampland SWSSB conjecture holds in quantum-gravity settings beyond the holographic model analyzed in the paper, including string-theory compactifications.

Background

The paper derives evidence for the Swampland SWSSB conjecture from a bottom-up AdS3/CFT2 model in which a fixed-charge mixed state exhibits Rényi-2 long-range order and admits a connected bulk interpretation.

Whether the same constraint applies more generally is left unresolved. The paper specifically points to theories beyond the studied holographic model and to the role of ensemble averages in quantum-gravity constructions as contexts requiring further verification.

References

It is also important to clarify the embedding of ensemble averages into string theory, the role of ensemble averages in the factorization puzzle, and whether the proposed Swampland SWSSB Conjecture holds beyond the holographic model discussed here.

— Emergent Symmetries in Ensemble Averages  (2609.36542 - Yamazaki, 29 Sep 2026) in Section 7, “Summary and Outlook”