Transition from SU(2)L × SU(2)R × U(1)B‐L representation to SU(2)L × U(1)Y by q‐deformation and the corresponding cl
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Publication:4840269
DOI10.1002/ANDP.19955070407zbMATH Open0825.81020arXivhep-th/9407162OpenAlexW1769689379MaRDI QIDQ4840269
Publication date: 28 November 1995
Published in: Annalen der Physik (Search for Journal in Brave)
Abstract: The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the vev and the hypercharge splitting (Delta) of right-handed leptons (quarks) in a family vanish and Q=T_0 + Y independently in each helicity sector. As a generalization, we start with SU(2)_L x SU(2)_R x U(1)_{(B-L)} and introduce Delta as a continuous parameter which is a measure of explicit symmetry breakdown. Values of Delta between zero and 1/2 take the neutral generator of the isospin-1/2 representation to the singlet representation, i.e. `deformes' the LR representation into the minimal Standard one. The corresponding classical O(3)-breaking term is a magnetic field perpendicular to the x_3-axis. A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2) representation is given.
Full work available at URL: https://arxiv.org/abs/hep-th/9407162
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