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 …

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 …

A bstract The hidden local symmetry is a successful model to describe the properties of the
vector mesons in QCD. We point out that if we identify this hidden gauge theory as the …

The light mesons such as π, ρ, ω, f 0, and a 0 are possible candidates of magnetic degrees
of freedom, if a magnetic dual picture of QCD exists. We construct a linear sigma model to …

In this thesis we review the Seiberg-Witten solution of four dimensional N= 2 gauge theories,
the six-dimensional construction of these models recently proposed by Gaiotto and the BPS …

A bstract New types of confining phase emerge when some singular SCFT's appearing as
infrared fixed points of\(\mathcal {N}= 2\) supersymmetric QCD (SQCD) are deformed by …

The smallest integer t for which the Wilson loop Wt fails to exhibit area law is known as the
confinement index of a given field theory. The confinement index provides us with subtle …

The sum rules in QCD and dualities in supersymmetric theories are well-known non-
perturbative techniques. The sum rules can be derived for theories whose global symmetry …

The sum rules in QCD and dualities in supersymmetric theories are well-known non-
perturbative techniques. The sum rules can be derived for theories whose global symmetry …

The hidden local symmetry is a successful model to describe the properties of the vector
mesons in QCD. We point out that if we identify this hidden gauge theory as the magnetic …