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The Poincar\'e-Cartan Form in Superfield Theory

2018

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.

Hamiltonian mechanicsHigh Energy Physics - TheoryMathematics - Differential GeometryPhysics and Astronomy (miscellaneous)BerezinianSuperfieldsymbols.namesakeFormalism (philosophy of mathematics)58E30 46S60 58A20 58J70Poincaré conjectureSupermanifoldsymbolsMathematics::Differential GeometryNoether's theoremMathematical PhysicsMathematical physicsMathematics
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