Symplectic structure of electromagnetic duality

Details Symplectic structure of electromagnetic duality Symplectic structure of electromagnetic duality

1997-07-15

arxiv.org/abs/hep-th/9707140v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Revtex

Scientific paper

We develop an electromagnetic symplectic structure on the space-time manifold by defining a Poisson bracket in terms of an invertible electromagnetic tensor F_{\mu\nu}. Moreover, we define electromagnetic symplectic diffeomorphisms by imposing a special condition on the electromagnetic tensor. This condition implies a special constraint on the Levi-Civita tensor. Then, we express geometrically the electromagnetic duality by defing a dual local coordinates system.

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