Resolve normalization, matching, and microscopic stabilization ambiguities in the warped construction

Resolve the physical gravitino normalization in a common fermion convention, the factor-√3 discrepancy among the Goldberger–Wise realization formulas, the loop-level boundary matching, and the microscopic mapping between the bulk-condensate model and the zero-mode SU(2) stabilizer with ultraviolet-brane flavors.

Background

The paper embeds the R-symmetric minimal supersymmetric standard model on an infrared brane in a five-dimensional warped geometry. Goldberger–Wise stabilization with a loop correction to the no-scale Kähler potential generates a suppressed infrared compensator, whose value determines the anomaly-mediated Majorana gaugino masses and therefore the pseudo-Dirac dark-matter splitting.

The appendix identifies several unresolved theoretical issues affecting the quantitative interpretation of this construction: the normalization of the physical gravitino in a common fermion convention, a factor-√3 discrepancy between alternative Goldberger–Wise formulas, loop-level matching at the infrared boundary, and the microscopic origin of the bulk-condensate stabilization mechanism in terms of the zero-mode SU(2) stabilizer with ultraviolet-brane flavors. Resolving these issues is necessary to establish a fully consistent ultraviolet completion and precise mediation prediction.

References

What remains open is the physical gravitino normalization in a common fermion convention, the factor-$\sqrt3$ difference among the quoted formulas for the Goldberger--Wise realization, the loop-level boundary matching, and the microscopic map from the bulk condensate to the zero-mode $SU(2)$ stabilizer of Ref. with ultraviolet-brane flavours.

— The LZ inelastic splitting as a probe of anomaly mediation  (2610.13930 - Lee et al., 9 Oct 2026) in Appendix, Section Five-dimensional warped construction, subsection “Backreaction from the Dirac-mass sector”