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Exploring the SO(32) Heterotic String

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abstract

We give a complete classification of Z_N orbifold compactification of the heterotic SO(32) string theory and show its potential for realistic model building. The appearance of spinor representations of SO(2n) groups is analyzed in detail. We conclude that the heterotic SO(32) string constitutes an interesting part of the string landscape both in view of model constructions and the question of heterotic-type I duality.

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hep-th 1

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2025 1

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Non-Abelian orbifolds of the SO(32) heterotic string

hep-th · 2025-06-10 · conditional · novelty 6.0

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.

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  • Non-Abelian orbifolds of the SO(32) heterotic string hep-th · 2025-06-10 · conditional · none · ref 17 · internal anchor

    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.