Symplectic structure of electromagnetic duality
M. Kachkachi
Abstract
We develop an electromagnetic symplectic structure on the space-time manifold by defining a Poisson bracket in terms of an invertible electromagnetic tensor Fμν. 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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