Anyons [electronic resource] : Quantum Mechanics of Particles with Fractional Statistics / by Alberto Lerda.

to Fractional Statistics in Two Dimensions -- Fractional Statistics in the Chern-Simons Gauge -- Fractional Statistics in the Anyon Gauge -- Non-relativistic Chern-Simons Field Theory -- Anyons in a Magnetic Field -- Statistical Mechanics of Anyons -- Anyons and the Fractional Quantum Hall Effect -- Anyons and Conformal Field Theories.

Particles with fractional statistics interpolating between bosons and fermions have attracted considerable interest from mathematical physicists. In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall effect, anyonic excitations in films of liquid helium, and high-temrperature superconductivity. Furthermore, they are discussed also in the context of conformal field theories. This book is a systematic and pedagogical introduction that considers the subject of anyons from many different points of view. In particular, the author presents the relation of anyons to braid groups and Chern-Simons field theory and devotes three chapters to physical applications. The book, while being of interest to researchers, primarily addresses advanced students of mathematics and physics.