Hypercharge and baryon minus lepton number in E6

Abstract

We study assignments of the hypercharge and baryon minus lepton number for particles in the E6 grand unification model. It is shown that there are three assignments of hypercharge and three assignments of baryon minus lepton number which are consistent with the Standard Model. Their explicit expressions and detailed properties are given. In particular, we show that the U(1)B-L symmetry in E6 cannot be orthogonal to the SU(3)R symmetry. Based on these investigations, we propose an alternative SU(5) grand unification model.

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