Representation Theory of Non-Abelian Magnetic Charges
We discuss the representation theory of non-abelian charges in physics, particularly magnetic monopoles, defined analogously to the well known case of electromagnetism. We start by presenting examples of charges and their emergence from physical symmetries. Next, we present concepts of representation theory that allow to generalise the discussion to non-abelian symmetries. We proceed to discuss charge in gauge theories, the distinction between electric and magnetic charges, and their relation through the Dirac quantisation condition. Lastly, using the tools developed in the previous chapters, we discuss how quantisation conditions can be derived for non-abelian charges.