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The Poincar\'e-Cartan Form in Superfield Theory

Mathematical Physics 2018-05-29 v1 High Energy Physics - Theory Differential Geometry math.MP

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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Cite

@article{arxiv.1805.10322,
  title  = {The Poincar\'e-Cartan Form in Superfield Theory},
  author = {Juan Monterde and Jaime Muñoz-Masqué and José Antonio Vallejo},
  journal= {arXiv preprint arXiv:1805.10322},
  year   = {2018}
}

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