Magnetic Backgrounds from Generalised Complex Manifolds

Details Magnetic Backgrounds from Generalised Complex Manifolds Magnetic Backgrounds from Generalised Complex Manifolds

2005-03-04

arxiv.org/abs/hep-th/0503042v3

J.Geom.Phys. 56 (2006) 1271-1282

Physics

High Energy Physics

High Energy Physics - Theory

Some refs. added

Scientific paper

10.1016/j.geomphys.2005.06.015

The magnetic backgrounds that physically give rise to spacetime noncommutativity are generally treated using noncommutative geometry. In this article we prove that also the theory of generalised complex manifolds contains the necessary elements to generate B-fields geometrically. As an example, the Poisson brackets of the Landau model (electric charges on a plane subject to an external, perperdicularly applied magnetic field) are rederived using the techniques of generalised complex manifolds.

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