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We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form A, by a superalgebra-valued polyform à mixing exterior-forms of all degrees and satisfying the chiral self-duality condition à =∗Ã_χ, where χ denotes the superalgebra grading operator. This superconnection contains Yang-Mills vectors valued in the even Lie subalgebra, together with scalars and self-dual tensors valued in the odd module, all coupling only to the charge parity CP-positive Fermions. The Fermion quantum loops then induce the usual Yang-Mills-scalar Lagrangian, the self-dual Avdeev-Chizhov propagator of the tensors, plus a new vector-scalar-tensor vertex and several quartic terms which match the geometric definition of the supercurvature. Applied to the SU(2/1) Lie-Kac simple superalgebra, which naturally classifies all the elementary particles, the resulting quantum field theory is anomaly-free and the interactions are governed by the super-Killing metric and by the structure constants of the superalgebra.

Item Type:	Refereed Article
Keywords:	electroweak gauge theory, Higgs, Lie superalgebra, supersymmetry, Higgs
Research Division:	Physical Sciences
Research Group:	Particle and high energy physics
Research Field:	Particle physics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding knowledge
Objective Field:	Expanding knowledge in the physical sciences
UTAS Author:	Jarvis, P (Dr Peter Jarvis)
ID Code:	142596
Year Published:	2021
Deposited By:	Mathematics
Deposited On:	2021-01-28
Last Modified:	2021-06-08
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