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-rw-r--r--stokes.tex6
1 files changed, 5 insertions, 1 deletions
diff --git a/stokes.tex b/stokes.tex
index 8b89104..095f6cb 100644
--- a/stokes.tex
+++ b/stokes.tex
@@ -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}