Some Simpler Analogues of the Dual Standard Model and their Relation to Bais' Generalisation of the Montenon-Olive Conjecture

TL;DR

This paper explores simplified analogues of the dual standard model related to fundamental interactions, examining their connection to Bais' generalization of the Montenon-Olive conjecture and matching monopole representations with elementary particles.

Contribution

It introduces simpler analogues of the dual standard model for different interactions and analyzes their relation to a generalized Montenon-Olive conjecture, identifying monopole representations.

Findings

Monopole-elementary particle representation correspondence confirmed

Simpler analogues of the dual standard model constructed for strong, weak, and hypercharge interactions

Connections to Bais' generalization of the Montenon-Olive conjecture established

Abstract

We show that the correspondence between SU(5) monopoles and the elementary particles, which underlies the construction of a dual standard model, has some simpler analogues associated with the strong, weak and hypercharge interactions. We then discuss how these analogues relate to Bais' generalization of the Montenon-Olive conjecture and find the representations of the monopoles under the dual gauge group; these representations agree with those of the elementary particles.