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The Poincaré-Cartan Form in Superfield Theory

Published 25 May 2018 in math-ph, hep-th, math.DG, and math.MP | (1805.10322v1)

Abstract: 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 studying the associated higher-order graded variational problem through the Poincar\'e-Cartan form. Noether theorem and examples from superfield theory and supermechanics are also discussed.

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