Chern-Simons vortices

Abstract

In (2+1) dimensions, the Maxwell term $-(1/4)F_{\alpha \beta }{F}^{\alpha \beta }$ can be replaced by the Chern-Simons three-form $(\kappa /4){\epsilon }^{\alpha \beta \gamma }{A}_{\alpha }{F}_{\beta \gamma }$, yielding a novel type of `electromagnetism'. This has been proposed for studying the Quantum Hall Effect as well as High-Temperature Superconductivity. The gauge field can be coupled to a scalar field either relativistically or non-relativistically. In both cases, one admits finite-energy, vortex solutions.

Published in Proc. Clifford Conference, Madeira'95. H. Nencka and J.-P. Bourgiugnon (eds). Contemporary Mathematics 203, pp. 271-288 (1997). Plain Tex, 16 pages, 6 figures

Cited by in corpus (1)

• Superconformal Chern-Simons Theories