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Description
We present an analytical derivation of the chiral symmetry breaking minima in supersymmetric asymptotically-free SU(N) and Sp(N) theories with F flavors of "quarks", perturbed by Anomaly Mediated Supersymmetry Breaking. We are able to show that all such theories, except in the SU(N) case of N = F, possess stable chiral symmetry breaking minima that are plausibly continuously connected to the vacua of QCD-like SU(N) or Sp(N) theories for large SUSY breaking.
In SU(N) QCD, due to the presence of incalculable global minima, we are often able to only derive "locally stable" chiral symmetry breaking minima. In particular, tachyonic two-loop AMSB masses lead to baryonic runaways to incalculable minima at the upper end of the free magnetic phase (1.5N ≥ F ≳ 1.43N), whereas for the s-confining case (F = N + 1) and most of the free-magnetic phase (F ≤ 1.43N) we find that naive tree-level baryonic runaways are stabilized by loop effects near the origin of moduli space. However, in the Sp(N) counterparts, all the minima that we derive are global because tachyonic dual squark directions are naturally stabilized by quartic tree level SUSY potentials, and there are no tree level runaways as baryons are absent.