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Symplectic structure of electromagnetic duality

M. Kachkachi
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Abstract

We develop an electromagnetic symplectic structure on the space-time manifold by defining a Poisson bracket in terms of an invertible electromagnetic tensor F_{μν}. 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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M. Kachkachi. 1997-07-15. Symplectic structure of electromagnetic duality. https://arxiv.org/abs/hep-th/9707140

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