Bajc-Melfo Vacua enable YUMGUTs

Understand

Bajc-Melfo(\textbf{BM}) two field ($S,\phi$) superpotentials define metastable F-term supersymmetry breaking vacua suitable as hidden sectors for calculable and realistic family and Grand Unification unification models.

• The undetermined vev $<S_s>$ of the Polonyi field that breaks Supersymmetry can be fixed either by coupling to N=1 Supergravity or by radiative corrections.
• \textbf{BM} hidden sectors extend to symmetric multiplets $(S,\phi)_{ab}$ of a gauged $O(N_g)$ family symmetry, broken at the GUT scale, so that the $O(N_g)$ charged component vevs $<\hat S_{ab}>$ are also undetermined before accounting for the $O(N_g)$ D-terms: which fix them by cancellation against D-term contributions from the visible sector.
• This facilitates Yukawon Ultra Minimal GUTs(YUMGUTs) proposed in [C.S.Aulakh and C.K.Khosa, Phys.Rev.D 90,045008(2014)] by relieving the visible sector from the need to give null D-terms for the family symmetry $ O(N_g)$.