Three non-Abelian orbifolds of the SO(32) heterotic string now have complete massless spectra, with unbroken gauge groups U(1)^2 x SO(26), U(1) x SO(26), and SO(26), showing rank reduction from 16 to 15, 14, or 13.
Non Abelian orbifold compactifications of the heterotic string
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I consider the construction of heterotic orbifold models based on a toroidal orbifold with non Abelian point group. I construct an explicit model based on the point group $S_3$ and calculate the spectrum and remnant symmetries. This model provides a simple example of rank reduction of the Yang--Mills gauge group directly in the string theory rather than in the effective field theory.
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Non-Abelian orbifolds of the SO(32) heterotic string
Three non-Abelian orbifolds of the SO(32) heterotic string now have complete massless spectra, with unbroken gauge groups U(1)^2 x SO(26), U(1) x SO(26), and SO(26), showing rank reduction from 16 to 15, 14, or 13.