 Compactification in string theory

Compactification makes some target spatial dimensions compact and sufficiently small that lower-energy observations see an effective lower-dimensional spacetime. A simple geometry is a product of noncompact spacetime with a compact internal manifold; its momentum and winding sectors influence the effective spectrum. Reaching a four-dimensional model from a critical ten-dimensional superstring requires such additional geometric and field-theoretic data. Worldsheet supersymmetry alone does not choose the compactification or establish a realistic particle spectrum.