= Moduli space of Ricci-flat K3 metrics
{title2=$SO(3,19)/(SO(3)\times SO(19))\times\mathbb R_{>0}$}
Locally, a unit-volume <Ricci flat> metric on a <K3 surface> determines a positive three-plane in its real second <cohomology>, with the <K3 intersection lattice> fixed. The corresponding Grassmannian has dimension $3\cdot19=57$. Allowing the volume gives one further positive real parameter; large diffeomorphisms identify lattice-equivalent descriptions. This is the same continuous moduli count as the three-torus <Narain moduli space> plus its coupling.
// Target: supersymmetry.bigb
Back to article page
