paper

The Poincaré-Cartan Form in Superfield Theory

arXiv:1805.10322 · doi:10.1142/S0219887806001375

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 Poincaré-Cartan form. Noether theorem and examples from superfield theory and supermechanics are also discussed.

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