Quantum Analysis of the Compactification Process in the Multidimensional Einstein-Yang-Mills System

Abstract

We study solutions of the Wheeler-DeWitt equation obtained when considering homogeneous and isotropic (up to a gauge transformation) field configurations of the Einstein-Yang-Mills system in $D=4+d$ dimensions with an $R\times S^3\times S^d$ topology and assuming the Hartle-Hawking boundary conditions.

3 pages, LaTeX, requires mprocl.sty available at http://shemesh.fiz.huji.ac.il/MG8/submission.html, talk given in the Quantum Cosmology at the MG8 conference