Geometric interpretation of correlator contributions in shell-state constructions

Determine whether all contributions to the many-point correlation function built from order-N insertions of light operators used to model pressureless-dust shell states in AdS3/CFT2 admit a clean geometric bulk interpretation beyond the specific contribution captured by the effective shell description.

Background

In the discussion of shell states (thin shells of pressureless dust) used to model certain AdS3 bulk configurations, the CFT dual is described in terms of many insertions of light operators whose collective effect is summarized by an effective shell. This setup raises the Antonini–Rath puzzle: although the shell-state appears pure in the boundary CFT, the bulk geometry suggests a mixed state due to entanglement with a baby universe.

The authors suggest that a more complete, microscopic CFT analysis of many-point correlators may reveal additional contributions beyond those captured by the bulk shell. The open issue is whether those additional contributions admit a clean geometric bulk interpretation.

References

We believe that a proper CFT investigation of the contributions to the many point correlation function of all these light operators would reveal other contributions beyond the one captured by the bulk shell, but it is not clear whether they can all be thought of as being cleanly geometric.

Baby Universes in AdS$_3$  (2512.02098 - Belin et al., 1 Dec 2025) in Introduction