Symplectic structure of electromagnetic duality
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_{\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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 1997
- DOI:
- 10.48550/arXiv.hep-th/9707140
- arXiv:
- arXiv:hep-th/9707140
- Bibcode:
- 1997hep.th....7140K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 18 pages, Revtex