Kavli Affiliate: Hitoshi Murayama
| First 5 Authors: Csaba Csáki, Teruhiko Kawano, Hitoshi Murayama, Ofri Telem,
| Summary:
We calculate the $theta$ dependence in a cousin of QCD, where the vacuum
structure can be analyzed exactly. The theory is $mathcal{N}=2$ $SU(2)$ gauge
theory with $N_F=0,1,2,3$ flavors of fundamentals, explicitly broken to
$mathcal{N}=1$ via an adjoint superpotential, and coupled to anomaly mediated
supersymmetry breaking (AMSB). The hierarchy $m_{AMSB}ll
mu_{mathcal{N}=1}ll Lambda$ ensures the validity of our IR analysis. As
expected from ordinary QCD, the vacuum energy is a function of $theta$ which
undergoes 1st order phase transitions between different vacua where the various
dyons condense. For $N_F=0$ we find the expected phase transition at
$theta=pi$, while for $N_F=1,2,3$ we find phase transitions at fractional
values of $pi$.
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