Yang-Mills connections valued on the octonionic algebra

Abstract

We consider a formulation of Yang-Mills theory where the gauge field is valued on an octonionic algebra and the gauge transformation is the group of automorphisms of it. We show, under mild assumptions, that the only possible gauge formulations are the usual $\mathfrak{su}(2)$ or $\mathfrak{u}(1)$ Yang-Mills theories.

Proceedings for the XIX Simposio Chileno de Fisica, SOCHIFI 2014 Conference, 26-28 November 2014, held at Concepcion U., Chile

References in corpus (3)

• Black Holes, Qubits and Octonions
• An octonionic formulation of the M-theory algebra
• Octonionic presentation for the Lie group $SL(2,\mathbb{O})$

Cited by in corpus (1)

• On the groundstate of octonionic matrix models in a ball