Abstract
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. \documentclass[12pt]{minimal}\begin{document}\[\begin{array}{c}\hbox{The World in a Point?}\\[12pt]\hbox{Blow-up of} C^3/Z_3|\,\, \hbox{Dynkin diagram of the LATKe}\\[12pt]\bullet \\[12pt]\hbox{Pure Yang-Mills with matter}\end{array}\]\end{document}TheWorldinaPoint?Blow-upofC3/Z3|DynkindiagramoftheLATKe●PureYang-Millswithmatter
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