Non-Abelian target space duals of Taub - NUT

Abstract

We investigate the non-Abelian target space duals of Taub - NUT space. This space has the local isometry group , the action of which has fixed points. We dualize over the entire symmetry group as well as the subgroups SO(3) and U(1), presenting unusual new solutions to low-energy string theory. The solutions are shown to have similar properties to C-metrics and monopole spacetimes, and they highlight the relationship between fixed points of an isometry in one solution and singular points in another. We also find the interesting results that, in this case, the U(1) and SO(3) duality procedures commute with each other, and that the extreme points of the O(1,1) duality group for the time translations have special significance under the SO(3) duality.