Non-associative Gauge Theory

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dc.creatorOotsuka, Takayoshi
dc.creatorTanaka, Erico
dc.creatorLoginov, Eugene
dc.date2005-12-30
dc.date2005-12-31
dc.date.accessioned2026-07-07T06:54:35Z
dc.date.available2026-07-07T06:54:35Z
dc.descriptionWe present a construction of gauge theory which its structure group is not a Lie group, but a Moufang loop which is essentially non-associative. As an example of non-associative algebra, we take octonions with norm one as a Moufang loop, with which we can produce an octonionic gauge theory. Our octonionic gauge theory is a natural generalization of Maxwell U(1)= S^1 gauge theory and Yang-Mills SU(2)= S^3 gauge theory. We also give the BPST like instanton solution of our octonionic gauge theory in 8 dimension.
dc.description7pages
dc.identifierhttps://arxiv.org/abs/hep-th/0512349
dc.identifierhttp://arxiv.org/abs/hep-th/0512349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105987
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleNon-associative Gauge Theory
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