dorsal/arxiv
View SchemaExceptional $\mathfrak{g}_2$ deformations and gauge symmetries
| Authors | G. Karapetyan |
|---|---|
| Categories | |
| ArXiv ID | 2601.07865vv1 |
| URL | https://arxiv.org/abs/2601.07865 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
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"abstract": "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.",
"arxiv_id": "2601.07865",
"authors": [
"G. Karapetyan"
],
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"physics.gen-ph",
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Exceptional $\\mathfrak{g}_2$ deformations and gauge symmetries",
"url": "https://arxiv.org/abs/2601.07865",
"version": "v1"
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