Chern-Simons vortices

C. Duval; P. A. Horvathy

Chern-Simons vortices

High Energy Physics - Theory 2011-04-15 v1

Authors: C. Duval , P. A. Horvathy

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.

Keywords

chern-simons theory electromagnetism electric-magnetic duality

Cite

@article{arxiv.hep-th/0307025,
  title  = {Chern-Simons vortices},
  author = {C. Duval and P. A. Horvathy},
  journal= {arXiv preprint arXiv:hep-th/0307025},
  year   = {2011}
}

Comments

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

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