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 …

We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with
hypermultiplets in the fundamental representation. We identify moduli space of periodic …

We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of
the fractional quantum Hall effect. The supersymmetry allows us to solve the theory …

We consider the decay of vortices trapped in the false vacuum of a theory of scalar
electrodynamics in 2+ 1 dimensions. The potential is inspired by models with intermediate …

A bstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in
inverse powers of their winding number n. The theory is applied to the analysis of vortex …

We discuss vortex solutions of the Abelian Higgs model in the limit of large winding number
n. We suggest a framework where a topological quantum number n is associated with a ratio …

By analogy with the multi-vortices, we show that also multi-monopoles become magnetic
bags in the large n limit. This simplification allows us to compute the spectrum and the profile …

We study Majorana zero modes bound to giant vortices in topological superconductors or
topological insulator/normal superconductor heterostructures. By expanding in inverse …

A bstract Zero-energy solutions of the Dirac equation for the fermions bound to giant vortices
of large winding number n are studied in the abelian Higgs and Chern-Simons Higgs …

We study some properties of topological Chern–Simons vortices in 2+ 1 dimensions. As has
already been understood in the past, in the large magnetic flux limit, they are well described …