Bogomolny vortex equation
= Bogomolny vortex equation
{c}
At critical coupling on a surface with conformal metric $g=\Omega dzd\bar z$, the vortex equations are
$$
D_{\bar z}\phi=0,
\qquad
B=\frac\Omega2(1-|\phi|^2).
$$
= Bogomolny vortex equation
{c}
At critical coupling on a surface with conformal metric $g=\Omega dzd\bar z$, the vortex equations are
$$
D_{\bar z}\phi=0,
\qquad
B=\frac\Omega2(1-|\phi|^2).
$$