Classification of Abelian domain walls

Understand

We discuss domain walls from spontaneous breaking of Abelian discrete symmetries $Z_N$.

• A series of different domain wall structures are predicted, depending on the symmetry and charge assignments of scalars leading to the spontaneous symmetry breaking (SSB).
• A widely-existing type of domain walls are those separating degenerate vacua which are adjacent in the field space.
• We denote these walls as adjacency walls.