Symplectic structure of electromagnetic duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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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