Kavli Affiliate: Hitoshi Murayama
| Summary:
We calculate the $θ$ dependence of the vacuum energy in an infinite family of cousins of QCD, where the vacuum structure can be analyzed exactly. These theories are $mathcalN=1$ EFTs that descend from $mathcalN=2$ $SU(N_c)$ gauge theory with $N_f$ flavors of fundamental hypermultiplets, that are then deformed by anomaly mediated supersymmetry breaking (AMSB). We reproduce results found in previous work that used the full $mathcalN=2$ machinery but via a much simpler $mathcalN=1$ method. Our method easily extends to infinitely many more theories for which the full $mathcalN=2$ approach becomes intractable. We identify values of $θ$ for which the theory undergoes a phase transition, and find that they can occur at both fractional and irrational values of $θ/π$.
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