Large scale and large period limits of symmetric calorons

Abstract

We construct SU(2) calorons, with nontrivial holonomy, instanton charge 2 and magnetic charge 0 or −1; these calorons have two constituent monopoles, with charges (2,2) or (2,1). Our calorons are U(1) symmetric and are constructed via the Nahm transform. They fall into distinct families which can be classified using representation theory. We consider large scale and large period limits of these calorons; in particular, the large scale limit may be a monopole, or a caloron with different topological charges.