MODULI SPACE OF MANY BPS MONOPOLES FOR ARBITRARY GAUGE GROUPS

We study the moduli space for an arbitrary number of BPS monopoles ina gauge theory with an arbitrary gauge group that is maximally broken t o U(1)(k). From the low energy dynamics of well-separated dyons we inf er the asymptotic form of the metric for the moduli space. For a pair of distinct fundamental monopoles, the space thus obtained is R(3)X(R( 1)XM(0))/Z, where M(0) is the Euclidean Taub-NUT manifold. Following t he methods of Atiyah and Hitchin, we demonstrate that this is actually the exact moduli space for this case. For any number of such objects, we show that the asymptotic form remains nonsingular for all values o f the intermonopole distances and that it has the symmetries and other characteristics required of the exact metric. We, therefore, conjectu re that the asymptotic form is exact for these cases also.