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SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions

Citation

Thierry-Mieg, J and Jarvis, P, SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions, Journal of High Energy Physics, 2021, (4) Article 1. ISSN 1029-8479 (2021) [Refereed Article]


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DOI: doi:10.1007/JHEP04(2021)001

Abstract

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 mixing exterior-forms of all degrees and satisfying the chiral self-duality condition =∗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 Details

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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