Exceptional $\mathfrak{g}_2$ deformations and gauge symmetries
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908761213370368 |
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| author | Karapetyan, G. |
| author_facet | Karapetyan, G. |
| contents | Deformed $\mathfrak{g}_2$ exceptional applications are introduced via the Clifford algebra-parametrized formalism. Using the products between multivectors of $\cl_{0,7}$, the Clifford algebra over the metric vector space $\RR^{0,7}$, and octonions, resulting in an octonion, we generalize the exceptional Lie algebra $\mathfrak{g}_2$ applications, also associated with the transformation rules for bosonic and fermionic fields on the 7-sphere $S^7$. The emergence of $SU(3)$-like subalgebras within the exceptional Lie algebra $\mathfrak{g}_2$ provides an algebraic framework reminiscent of the $SU(3)$ gauge symmetry of QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07865 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exceptional $\mathfrak{g}_2$ deformations and gauge symmetries Karapetyan, G. General Physics High Energy Physics - Theory Deformed $\mathfrak{g}_2$ exceptional applications are introduced via the Clifford algebra-parametrized formalism. Using the products between multivectors of $\cl_{0,7}$, the Clifford algebra over the metric vector space $\RR^{0,7}$, and octonions, resulting in an octonion, we generalize the exceptional Lie algebra $\mathfrak{g}_2$ applications, also associated with the transformation rules for bosonic and fermionic fields on the 7-sphere $S^7$. The emergence of $SU(3)$-like subalgebras within the exceptional Lie algebra $\mathfrak{g}_2$ provides an algebraic framework reminiscent of the $SU(3)$ gauge symmetry of QCD. |
| title | Exceptional $\mathfrak{g}_2$ deformations and gauge symmetries |
| topic | General Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.07865 |