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@@ -161,7 +161,11 @@ action potentially has more stationary points. We'll call $\Sigma$ the set of its complex extension. \textbf{Right:} The stationary points of $\mathcal S$ in the complex-$\theta$ plane. In this example, $\Sigma=\{\blacklozenge,\bigstar,\blacktriangle,\blacktriangledown,\bullet,\blacksquare\}$ - and $\Sigma_0=\{\blacklozenge,\blacktriangledown\}$. + and $\Sigma_0=\{\blacklozenge,\blacktriangledown\}$. Symmetries exist + between the stationary points both as a result of the conjugation symmetry + of $\mathcal S$, which produces the vertical reflection, and because in the + pure 3-spin models $\mathcal S(-s)=-\mathcal S(s)$, which produces the + simultaneous translation and inversion symmetry. } \end{figure} |