Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
Abstract
We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S2. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 x S2, the scalars being interpreted as gauge fields on S2. The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n1) x SU(n2) x U(1), with mass scale determined by the size of the extra dimension.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.