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Symplectic Yang-Mills theory, Ricci tensor, and connections

Katharina Habermann, Lutz Habermann, Paul Rosenthal

math.SGarXiv:math/0604553

Abstract

A Yang-Mills theory in a purely symplectic framework is developed. The corresponding Euler-Lagrange equations are derived and first integrals are given. We relate the results to the work of Bourgeois and Cahen on preferred symplectic connections.

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