More on 8d non-supersymmetric branes and heterotic strings
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| Format: | Preprint |
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2025
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| _version_ | 1866918120153677824 |
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| author | Hamada, Yuta Ishige, Arata Koga, Yuichi |
| author_facet | Hamada, Yuta Ishige, Arata Koga, Yuichi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_15144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | More on 8d non-supersymmetric branes and heterotic strings Hamada, Yuta Ishige, Arata Koga, Yuichi High Energy Physics - Theory 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. |
| title | More on 8d non-supersymmetric branes and heterotic strings |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.15144 |