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 …

In the last decade methods and techniques based on supersymmetry have provided deep
insights in quantum chromodynamics and other non-supersymmetric gauge theories at …

These lectures cover aspects of solitons with focus on applications to the quantum dynamics
of supersymmetric gauge theories and string theory. The lectures consist of four sections …

We completely determine the moduli space MN, k of k vortices in U (N) gauge theory with N
Higgs fields in the fundamental representation. Its open subset for separated vortices is …

A bstract Chiral magnets with the Dzyaloshinskii-Moriya (DM) interaction have received
quite an intensive focus in condensed matter physics because of the presence of a chiral …

We review recent developments in the theory of brane tilings and four‐dimensional 𝒩= 1
supersymmetric quiver gauge theories. This review consists of two parts. In part I, we …

When instantons are put into the Higgs phase, vortices are attached to instantons. We
construct such composite solitons as 1/4 BPS states in five-dimensional supersymmetric U …

We clarify relations among topological solitons in various dimensions: a domain wall, non-
Abelian vortex, magnetic monopole, and Yang-Mills instanton, together with a (non-Abelian) …

A bstract We study classical configurations in the\(\mathbb {C}\) PN− 1 model on\(\mathbb
{R}\) 1× S 1 with twisted boundary conditions. We focus on specific configurations composed …

We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U (NC)
gauge theory with NF flavors, NF> NC, in the Higgs phase. The moduli space for an arbitrary …