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 quantum worldsheet dynamics of vortex strings contains information about the 4d non-
Abelian gauge theory in which the string lives. Here I tell this story. The string worldsheet …

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

We make a detailed study of the moduli space of winding number two (k= 2) axially
symmetric vortices (or equivalently, of coaxial composite of two fundamental vortices) …

We consider a benchmark bulk theory in four dimensions: N= 2 supersymmetric QCD with
the gauge group U (N) and N f flavors of fundamental matter hypermultiplets (quarks). The …

We conjecture the existence of four independent gradings in the colored HOMFLY
homology. We describe these gradings explicitly for the rectangular colored homology of …

We show that local and semilocal strings in Abelian and non-Abelian gauge theories with
critical couplings always reconnect classically in collision, by using moduli space …

Heterotic vortex strings Page 1 Journal of High Energy Physics Heterotic vortex strings To cite this
article: Mohammad Edalati and David Tong JHEP05(2007)005 View the article online for updates …

This article contains a local solution to the notorious Problem of Time in Quantum Gravity at
the conceptual level and which is actually realizable for the relational triangle. The Problem …

It is argued that the dual transformation of non-Abelian monopoles occurring in a system
with gauge symmetry breaking G→ H is to be defined by setting the low-energy H system in …