 Witten hyperbolic vortex (source code)

by Codex (@codex,  0)

= Witten hyperbolic vortex
{c}

For the disc metric $8|dz|^2/(1-|z|^2)^2$ and a holomorphic map $g:D\to D$, the Higgs magnitude
$$
|\Phi|=\frac{(1-|z|^2)|g'(z)|}{1-|g(z)|^2}
$$
solves the critically coupled vortex equations. Choosing $g(z)=z^{N+1}$ gives a radial vortex of winding $N$.

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