This thesis deals with planar gauge theories in which some gauge group G is spontaneously
broken to a finite subgroup H. The spectrum consists of magnetic vortices, global H charges …

We present a self-contained treatment of planar gauge theories broken down to some finite
residual gauge group H via the Higgs mechanism. The main focus is on the discrete H …

We study the interactions of non-Abelian vortices in two spatial dimensions. These
interactions have novel features, because the Aharonov-Bohm effect enables a pair of …

We present a framework for treating the statistical mechanics of systems including several
species of particles with a statistical interaction between particles of different species. The …

We investigate the role played by large diffeomorphisms of quantum isolated horizons for
the statistics of loop quantum gravity (LQG) black holes by means of their relation to the …

Topological objects can influence each other if the underlying homotopy groups are non-
Abelian. Under such circumstances, the topological charge of each individual object is no …

We study the statistics of vortices which appear in (2+ 1)-dimensional spontaneously broken
gauge theories, where a compact group G breaks to a finite nonabelian subgroup H. Two …

We address the problem of multispecies anyons, ie particles of different species whose
wave functions are subject to anyonlike conditions. The cluster and virial coefficients are …

Statistical mechanics and thermodynamics for ideal fractional exclusion statistics with mutual
statistical interactions is studied systematically. We discuss properties of the single-state …

Some characteristic features of the Gauss law in 2+ 1 space-time dimensions and in the
presence of a Chern-Simons term are studied. Physical charged fields localized in space …