A new SU(2/1) supergroup with determinant 1 explains many mysteries of the weak interactions

Autor:	Thierry-Mieg, Jean
Rok vydání:	2024
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
Popis:	Taken as a classification paradigm completing the standard model, a new compact form of the SU(2/1) supergroup explains many mysterious properties of the weak interactions: the maximal breaking of parity, the fractional charges of the quarks, the cancellation of the quantum field theory anomalies, and ties together the existence of the right neutrinos and of the heavier Fermions. This compact supergroup is constructed by exponentiating the matrices representing the leptons and the quarks which form a semi-direct sum of Kac modules of the real superalgebra su(2/1,R) such that the overall trace of the $U(1)$ weak-hypercharge $Y$ vanishes. Remarkably, all the elements of this supergroup have Berezinian 1 and determinant 1. In practice, $Tr(Y)=0$ simply means that the electric charge of the hydrogen atom is zero. Comment: 10 pages, no figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.08641 Zobrazit plný text záznamu View this record from Arxiv