Gauged linear sigma models with C-valued scalar fields and gauge group U(1), d â‰¤ m, have soliton solutions of Bogomolâ€™nyi type if a suitably chosen potential for the scalar fields is also included inâ€¦ (More)

In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, where G is a typically non-compact Lie group which dependsâ€¦ (More)

The time evolution of several interacting Ginzburg-Landau vortices according to an equation of SchrÃ¶dinger type is approximated by motion on a finite-dimensional manifold. That manifold is defined asâ€¦ (More)

Many two-dimensional physical systems have symmetries which are mathematically described by quantum groups (quasitriangular Hopf algebras). In this Letter we introduce the concept of a spontaneouslyâ€¦ (More)

We define a Fourier transform S for the quantum double D(G) of a finite group G. Acting on characters of D(G), S and the central ribbon element of D(G) generate a unitary matrix representation of theâ€¦ (More)

Gauge theories in 2+1 dimensions whose gauge symmetry is spontaneously broken to a finite group enjoy a quantum group symmetry which includes the residual gauge symmetry. This symmetry provides aâ€¦ (More)

We study the intermediateand long-range forces between moving and spinning Skyrmions, employing two different methods. One uses a relativised product ansatz for the Skyrme fields, the other modelsâ€¦ (More)

We quantise a Poisson structure on Hn+2g, where H is a semidirect product group of the form G â‹‰ g. This Poisson structure arises in the combinatorial description of the phase space of Chern-Simonsâ€¦ (More)