The Poincar\'e-Cartan Form in Superfield Theory
classification
🧮 math-ph
hep-thmath.DGmath.MP
keywords
e-cartanformpoincarsuperfieldtheoryvariationalachievedassociated
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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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