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arXiv · 1804.01978

Domain wall moduli in softly-broken SQCD at $\bar\theta=\pi$

Adam Ritz·Ashish Shukla
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Abstract

We analyze the moduli space dynamics of domain walls in $SU(N)$ QCD at $\bar\theta=\pi$, 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 $\bar\theta=\pi$ so that there are two degenerate vacua.

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Adam Ritz, Ashish Shukla. 2018-04-05. Domain wall moduli in softly-broken SQCD at $\bar\theta=\pi$. https://doi.org/10.1103/physrevd.97.105015

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