More on 8d non-supersymmetric branes and heterotic strings

Yuta Hamada; Arata Ishige; Yuichi Koga

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arXiv · 2505.15144

More on 8d non-supersymmetric branes and heterotic strings

Yuta Hamada·Arata Ishige·Yuichi Koga

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Abstract

We determine the maximal gauge groups arising in $E_8$ heterotic string theory on $T^2$. Our analysis proceeds along two approaches. First, we start the moduli space of the supersymmetric heterotic string theory on $T^2$ focusing on points of maximal gauge enhancement. At these special points, the charge lattice can exhibit a $\mathbb{Z}_2$ outer automorphism corresponding to the bulk gauge symmetry. By orbifolding the worldsheet theory by it with the fermion parity, we obtain the maximal gauge group of the $E_8$ theory. Second, we directly study the toroidal compactification of 10d $E_8$ heterotic string. Both approaches agree, yielding a classification of $22$ maximal gauge groups. For each case, we present the corresponding massless spectrum. In light of the no global symmetry/cobordism conjecture in quantum gravity, our result also offer a classification of non-supersymmetric branes in 8d supersymmetric heterotic string theories.

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Yuta Hamada, Arata Ishige, Yuichi Koga. 2025-05-21. More on 8d non-supersymmetric branes and heterotic strings. https://arxiv.org/abs/2505.15144

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