The Poincaré-Cartan form in superfield theory Article

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Overview

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. © 2006 World Scientific Publishing Company.

authors

• Masqué J.M.
• Monterde J.
• Vallejo Rodríguez José Antonio

publication date

• 2006-01-01

published in

• International Journal of Geometric Methods in Modern Physics  Journal

Research

keywords

• Berezinian and graded variational problems; Berezinian sheaf; Graded manifold; Hamilton equations; Hamilton-Cartan formalism in graded manifolds; Infinitesimal contact transformations; Infinitesimal supersymmetries; Lagrangian superdensity; Poincaré-Cartan form

Identity

Digital Object Identifier (DOI)

• 10.1142/S0219887806001375

Additional Document Info

start page

• 775

end page

• 822

volume

• 3

issue

• 4