Orbifold singularities, Lie algebras of the third kind (LATKes), and pure Yang-Mills with matter

We discover the unique, simple Lie algebra of the third kind, or LATKe, that stems from codimension 6 orbifold singularities and gives rise to a new kind of Yang-Mills theory which simultaneously is pure and contains matter. The root space of the LATKe is one-dimensional and its Dynkin diagram consists of one point. The uniqueness of the LATKe is a vacuum selection mechanism. The World in a Point? Blow-up of C-3/Z3| Dynkin diagram of the LATKe Pure Yang-Mills with matter (C) 2011 American Institute of Physics. [doi:10.1063/1.3528673]