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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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Copyright Statement
This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021.
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 à mixing exterior-forms of all degrees and satisfying the chiral self-duality condition à =∗Ãχ, 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 |
| Web of Science® Times Cited: | 1 |
| Deposited By: | Mathematics |
| Deposited On: | 2021-01-28 |
| Last Modified: | 2021-11-23 |
| Downloads: | 3 View Download Statistics |
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