Light-tower stability in ETW flows versus adiabatic moduli limits

Ascertain whether the tower of states predicted by the Distance Conjecture to become light and stable at an infinite-distance limit in moduli space also becomes light and stable along the corresponding ETW-brane domain-wall flow that probes the same infinite-distance point, in the presence of interactions sourced by dynamical field variations.

Background

The Distance Conjecture predicts light towers at infinite-distance limits in moduli space under adiabatic conditions. ETW flows dynamically approach the same limits but include nontrivial interactions due to varying fields.

The authors explore finite-temperature deformations and thermodynamic signatures, but emphasize a fundamental uncertainty about whether the light towers in static limits remain light and stable in the fully dynamical ETW setting.

References

Note, however, that it is not clear that the tower that becomes light and is stable near an infinite distance limit in moduli space (as predicted by the Distance Conjecture ) also becomes light and stable in the ETW flow that probes that same infinite distance point, due to interactions sourced by the dynamical field variations.

— End-of-the-World Singularities: The Good, the Bad, and the Heated-up  (2603.18133 - Calderón-Infante et al., 18 Mar 2026) in Introduction