Generalized self-dual Chern-Simons vortices

Self-dual Vortices in Chern-simons Hydrodynamics

The classical theory of non-relativistic charged particle interacting with U(1) gauge field is reformulated as the Schrödinger wave equation modified by the de-Broglie-Bohm quantum potential nonlinearity. For, (1 h̄) deformed strength of quantum potential the model is gauge equivalent to the standard Schrödinger equation with Planck constant h̄, while for the strength (1 + h̄), to the pair of diff...

Self-dual Chern-Simons Vortices on Riemann Surfaces

We study self-dual multi-vortex solutions of Chern-Simons Higgs theory in a background curved spacetime. The existence and decaying property of a solution are demonstrated. Electronic mail: [email protected] Electronic mail: [email protected] 1

Non-Abelian, self-dual Chern-Simons vortices coupled to gravity.

Self-dual vortices in the generalized Abelian Higgs model with independent Chern-Simons interaction.

Self-dual vortex solutions are studied in detail in the generalized abelian Higgs model with independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a Chern-Simons-Higgs model with two scalar fields, or other new models. We investigate the properties of the static solutions and perform detailed numerical analyses. For t...

Gravitating Chern-Simons vortices.

The construction of self-dual vortex solutions to the Chern-SimonsHiggs model (with a suitable eighth-order potential) coupled to Einstein gravity in (2 + 1) dimensions is reconsidered. We show that the self-duality condition may be derived from the sole assumption g00 = 1. Next, we derive a family of exact, doubly self-dual vortex solutions, which interpolate between the symmetrical and asymme...