Supersymmetric point particles and monopoles with no strings

Abstract

In previous work, an action principle for the charge monopole system was developed and it was canonically quantized. The action was single valued and free of string singularities. In this work, we supersymmetrize the preceding action and canonically quantize this new action. It describes a charged spin-half particle of gyromagnetic ratio 2 in a magnetic monopole field. It is shown that if a system admits only local lagrangians for a configuration space Q, then under certain conditions, it admits a global lagrangian when Q is enlarged to a suitable U(1) bundle over Q. (The charge monopole system is an example of such a system.) Conditions under which a symplectic form is derivable from a lagrangian are also found.