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math-ph2018
The Poincaré-Cartan Form in Superfield Theory
Juan Monterde, Jaime Muñoz-Masqué, José Antonio Vallejo
An intrinsic description of the Hamilton-Cartan formalism for first-order Berezinian variational problems determined by a submersion of supermanifolds is given. This is achieved by…
math-ph2018
Poisson brackets of even symplectic forms on the algebra of differential forms
Juan Monterde, José Antonio Vallejo
Given a symplectic form and a pseudo-riemannian metric on a manifold, a non degenerate even Poisson bracket on the algebra of differential forms is defined and its properties are s…