Exceptional \mathfrakg₂ deformations and gauge symmetries

2026/01/10 by G. Karapetyan · 1 voice
Physics and Astronomy · #physics.gen-ph #hep-th

paper · pdf

Abstract

Deformed \mathfrakg₂ 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 \mathfrakg₂ applications, also associated with the transformation rules for bosonic and fermionic fields on the 7-sphere S⁷. The emergence of SU(3)-like subalgebras within the exceptional Lie algebra \mathfrakg₂ provides an algebraic framework reminiscent of the SU(3) gauge symmetry of QCD.

Discussions

• G. Karapetyan: Exceptional $\mathfrak{g}_2$ deformations and gauge symmetries https://arxiv.org/abs/2601.07865 https://arxiv.org/pdf/2601.07865 https://arxiv.org/html/2601.07865 [bsky, 0 points, 0 comments]

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