F & H monopoles Original Research Article

bstract Supersymmetric monopoles of the heterotic string theory associated with an arbitrary non-negative number of the left-moving modes of the string states are presented. They include H-monopoles and their T-dual partners F-monopoles (ALE instantons). Massive F = H monopoles are T-self-dual. Solutions include also an infinite tower of generic T-duality covariant non-singular in stringy frame F & H monopoles with the bottomless throat geometry. The massless F = −H monopoles are invariant under combined T-duality and charge conjugation converting a monopole into antimonopole. All F & H monopoles can be promoted to the exact supersymmetric solutions of the heterotic string theory since the holonomy group is the compact SO(9). The sigma models for M8 monopoles, which admit constant complex structures, have enhanced world-sheet supersymmetry: (4,1) in general and (4,4) for the left-right symmetric monopoles. The space-time supersymmetric GS light-cone action in monopole background is directly convertible into the world-sheet supersymmetric NSR action.