Orbifold Compactifications with continuous Wilson lines
Thomas Mohaupt
TL;DR
This paper classifies the moduli and gauge symmetry breaking possibilities in heterotic orbifold compactifications with continuous Wilson lines, focusing on the Z(3) orbifold and its impact on E(6)×SU(3).
Contribution
It provides a detailed classification of untwisted moduli and gauge symmetry breaking patterns in heterotic orbifolds with continuous Wilson lines, especially for the Z(3) case.
Findings
Wilson lines have both continuous and discrete components.
All gauge breaking possibilities with nine Wilson moduli are classified.
The gauge group E(6)×SU(3) can be broken in various ways by Wilson lines.
Abstract
We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z(3) orbifold we classify all possibilities of breaking the gauge group E(6) times SU(3) by nine of the eighteen Wilson moduli and by additional discrete Wilson lines.
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