Instantons and magnetic monopoles on R3 X S1 with arbitrary simple gauge groups

We investigate Yang-Mills theories with arbitrary gauge group on R-3 X S-1, whose symmetry is spontaneously broken by the Wilson loop. We show that instantons are made of fundamental magnetic monopoles, each of which has a corresponding root in the extended Dynkin diagram. The number of constituent magnetic monopoles for a single instanton is the dual Coxeter number of the gauge group, which also accounts for the number of instanton zero modes. In addition, we show that. there exists a novel type of the S-1 ordinate dependent magnetic monopole solutions in G(2),F-4,E-8. (C) 1998 Published by Elsevier Science B.V. All rights reserved.