2005/12/30 by Takayoshi Ootsuka, Ootsuka, Takayoshi, Erico Tanaka +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.hep-th/0512349
openalex publication_date 2005/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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)= S1 gauge theory and Yang-Mills SU(2)= S3 gauge theory. We also give the BPST like instanton solution of our octonionic gauge theory in 8 dimension.