A bstract We study abelian BPS vortices on a surface S with boundary, which satisfy the
Neumann boundary condition on the norm of the scalar field, or equivalently, that the current …

We demonstrate that the geometric volume of a soliton coincides with the thermodynamical
volume also for field theories with higher-dimensional vacuum manifolds (eg, for gauged …

We explore the physical interpretations of concepts in (equivariant) K-theory using supersym-
metric partition functions. The partition functions are first computed using supersymmetric …

In this project we study the three fundamental theories that explain the phenomenon of
superconductivity: The London theory, the Ginzburg-Landau theory and the BCS theory. We …

We establish a connection between recent developments in the study of vortices in the
abelian Higgs models, and in the theory of structure-preserving discrete conformal maps …

A set of vortices in the superconducting system being a two-dimensional region with a
boundary has been considered. Here the system under study is described by the model of …