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 …

Inhomogeneous superconductors and inhomogeneous superfluids appear in a variety of
contexts including quark matter at extreme densities, fermionic systems of cold atoms, type-II …

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 study the low-energy quantum dynamics of vortex strings in the Higgs phase of Script N=
2 supersymmetric QCD. The exact BPS spectrum of the stretched string is shown to coincide …

Various dynamical regimes associated with confined monopoles in the Higgs phase of N= 2
two-flavor QCD are studied. The microscopic model we deal with has the SU (2)× U (1) …

A bstract QCD matter in strong magnetic field exhibits a rich phase structure. In the presence
of an external magnetic field, the chiral Lagrangian for two flavors is accompanied by the …

A bstract We comment on various aspects of the the dynamics of 3d\(\mathcal {N}= 2\) Chern-
Simons gauge theories and their possible phases. Depending on the matter content, real …

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 …

The purpose of this paper is to review the recent progress in understanding quark
confinement. The emphasis of this review is placed on how to obtain a manifestly gauge …