Mathematics – Algebraic Geometry
Scientific paper
2012-01-12
Mathematics
Algebraic Geometry
16p, 2 figs, LaTeX. To appear in the proceedings of String-Math 2011
Scientific paper
String phenomenology is the branch of string theory concerned with making contact with particle physics. The original models involved compactifying ten-dimensional supersymmetric Yang-Mills theory on an internal Calabi-Yau three-fold. In recent years, this picture has been extended to compactifications of supersymmetric Yang-Mills theory in seven, eight or nine dimensions. We review some of this progress and explain the fundamental role played by Higgs bundles in this story.
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