Domain wall moduli in softly-broken SQCD at $bartheta=pi$


Abstract in English

We analyze the moduli space dynamics of domain walls in $SU(N)$ QCD at $bartheta=pi$, by softly breaking ${cal N}! =!1$ SQCD with sfermion mixing. In the supersymmetric limit, BPS domain walls between neighbouring vacua are known to possess non-translational flavour moduli that form a $mathcal{C} P^{N-1}$ sigma model. For the simplest case with gauge group $SU(2)$ and $N_f=2$, we show that this sigma model also exhibits a Hopf term descending from the bulk Wess-Zumino term with a quantized coefficient. On soft-breaking of supersymmetry via sfermion mixing that preserves the flavour symmetry, these walls and their moduli-space dynamics survives when $bartheta=pi$ so that there are two degenerate vacua.

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