We review our recent work on solitons in the Higgs phase. We use U (NC) gauge theory with
NF Higgs scalar fields in the fundamental representation, which can be extended to possess …

The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in
supersymmetric U (NC) gauge theories in five dimensions with NF (> NC) hypermultiplets in …

Supersymmetric nonlinear sigma models are obtained from linear sigma models by
imposing supersymmetric constraints. if we introduce auxiliary chiral and vector superfields …

A bstract Construction of a supersymmetric extension of the Skyrme term was a long-
standing problem because of the auxiliary field problem; that is, the auxiliary field may …

Supersymmetric U (NC) gauge theory with NF massive hypermultiplets in the fundamental
representation is given by the brane configuration made of NC fractional D p-branes stuck at …

Webs of domain walls are constructed as 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states
in d= 4, N= 2 supersymmetric U (NC) gauge theories with NF hypermultiplets in the …

When global symmetries are spontaneously broken in supersymmetric vacua, there appear
quasi-Nambu-Goldstone (NG) fermions as superpartners of NG bosons. In addition to these …

Domain walls in U (N) gauge theories, coupled to Higgs scalar fields with degenerate
masses, are shown to possess normalizable non-Abelian Nambu-Goldstone (NG) modes …

When a continuous symmetry is spontaneously broken in nonrelativistic systems, there
appear either type-I or type-II Nambu-Goldstone modes (NGMs) with linear or quadratic …

Non-Abelian BPS vortices in SO (N)× U (1) and USp (2N)× U (1) gauge theories are
constructed in maximally color-flavor locked vacua. We study in detail their moduli and …