After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory
and the theoretical basis as well as the implications of the discovery of the Quantum Hall …

Abstract Lectures at the 1998 Les Houches Summer School: Topological Aspects of Low
Dimensional Systems. These lectures contain an introduction to various aspects of Chern …

We have examined vortex solutions in (2+ 1) D Chern-Simons-Higgs theory which has no
usual Maxwell term. It is shown that the Bogomol'nyi-type equations can be derived for a …

The vortex solutions of various classical planar field theories with (Abelian) Chern–Simons
term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the …

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 study nonabelian vortices (flux tubes) in SU (N) gauge theories, which are responsible
for the confinement of (nonabelian) magnetic monopoles. In particular a detailed analysis is …

Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of
considerable physical significance. The new class of self-dual Chern-Simons theories …

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) …

This book explains the subtleties of quantum statistical mechanics in lower dimensions and
their possible ramifications in quantum theory. The discussion is at a pedagogical level and …

We develop the quantization of topological solitons (vortices) in three-dimensional quantum
field theory, in terms of the Euclidean region functional integral. We analyze in some detail …