AMSB-to-non-SUSY matching of global symmetries and massless fermions

Establish whether the infrared global symmetry groups and massless fermion spectra of non-supersymmetric SU(N_C) chiral gauge theories with one antisymmetric Weyl fermion, N_F fundamental Weyl fermions, and N_C+N_F−4 anti-fundamental Weyl fermions coincide with those of the anomaly-mediated supersymmetry breaking (AMSB)-deformed N=1 supersymmetric counterparts in the limit m→∞, under the assumption that no phase transition occurs as m and Λ interchange hierarchy.

Background

The paper derives exact infrared features of N=1 supersymmetric SU(N_C) chiral gauge theories with specified matter content using anomaly-mediated supersymmetry breaking (AMSB). The authors identify vacua, unbroken global symmetries, and massless fermions for these SUSY theories by working at scales m≪Λ and then argue about the non-supersymmetric limit by taking m→∞.

To connect these SUSY results to genuine non-SUSY theories, the authors assume no phase transition occurs as m and Λ exchange hierarchy. Under this assumption, they conjecture that the IR global symmetries and massless fermion content of the non-SUSY theories match those found in the AMSB-deformed SUSY counterparts. Verifying this conjecture would provide exact non-perturbative information about chiral gauge theories without supersymmetry and clarify how AMSB results translate to the non-SUSY regime.

References

By assuming that no phase transition occurs as m and Λ swap hierarchies, we can conjecture several exact statements about the non-SUSY theories. In particular, we conjecture the surviving global symmetries and massless fermion content of the non-SUSY theories are identical to those of the SUSY theories above when deformed by AMSB.

— Exact Results in Chiral Gauge Theories with Flavor  (2503.08772 - Leedom et al., 11 Mar 2025) in Section 4, Non-Supersymmetric Limit