6533b821fe1ef96bd127ba49
RESEARCH PRODUCT
The Poincar\'e-Cartan Form in Superfield Theory
Jaime Muñoz MasquéJuan MonterdeJosé A. VallejoJosé A. Vallejosubject
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 physicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-05-25 |