Domain Walls in Gauge Theories and Soltions in the Higgs Phase(Current Topics)

Abstract

Recent progress in studying solitons, especially domain walls are reviewed. In the U(Nc) gauge theory with 8 supercharges, the moduli space of domain walls is found to be the complex Grassmann manifold. Domain walls can exist in the Higgs phase where new interesting phenomena arise for solitons in general. For instance the magnetic monopole accompanies vortex strings to become a composite soliton.