Completeness of effects in Weak Gravity Conjecture tests for domain walls

Investigate comprehensively whether all physical effects that contribute to domain wall tensions—including polarization and related decay channels—have been incorporated in analyses of the Weak Gravity Conjecture for domain walls, and determine their impact on proposed tension bounds in non-supersymmetric configurations.

Background

To extend their domain wall bound to non-supersymmetric AdS vacua, the authors appeal to the Weak Gravity Conjecture (WGC) for domain walls, which posits that non-supersymmetric domain walls have tension bounded above by the BPS value.

They note that this form of the WGC has been contested and explicitly state that it is unclear whether all effects entering domain wall tensions—especially polarization-induced decay channels—have been fully accounted for, leaving the completeness of current WGC tests for domain walls unresolved.

References

This form of the weak gravity conjecture has been contested for instance in , but it is not clear whether all effects that can contribute to domain wall tensions have been taken into account ; this is the case especially for polarization effects which can lead to new domain wall decays .

— A domain wall bound on anti-de Sitter vacua  (2603.08779 - Cribiori et al., 9 Mar 2026) in Section “A derivation from ten dimensions” (footnote following the WGC discussion)