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SUPERFIELDS AND CANONICAL METHODS IN SUPERSPACE

1986

We consider the “supersymmetric roots” of the Heisenberg evolution equation as describing the dynamics of superfields in superspace. We investigate the superfield commutators and their equal time limits and exhibit their noncanonical character even for free superfields. For simplicity, we concentrate on the D=1 case, i.e., the superfield formulation of supersymmetric quantum mechanics in the Heisenberg picture and, as a soluble example, the supersymmetric oscillator. Finally, we express Noether’s theorem in superspace and give the definition of the global conserved supercharges.

PhysicsNuclear and High Energy PhysicsHigh Energy Physics::PhenomenologyGeneral Physics and AstronomyAstronomy and AstrophysicsSuperfieldSuperspaceHigh Energy Physics::Theorysymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsCharacter (mathematics)Supersymmetric gauge theorysymbolsF-termSupersymmetric quantum mechanicsNoether's theoremHeisenberg pictureMathematical physicsModern Physics Letters A
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