Superhamiltonian formalism for $2D$ $N=1,2$ theories

Details Superhamiltonian formalism for $2D$ $N=1,2$ theories Superhamiltonian formalism for $2D$ $N=1,2$ theories

1993-10-12

arxiv.org/abs/hep-th/9310062v1

Mod.Phys.Lett. A9 (1994) 51-66

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, ENSLAPP/L/433/93

Scientific paper

We show how to formulate $2$-dimensional supersymmetric $N=1,2$ theories, both massive and conformal, within a manifestly supersymmetric hamiltonian framework, via the introduction of a (super)-Poisson brackets structure defined on superfields. In this approach, as distinct from the previously known superfield hamiltonian formulations, the dynamics is not separated into two unrelated $2D$ light-cone superspaces, but is recovered by specifying boundary conditions at a given ``super-time" coordinate. So the approach proposed provides a natural generalization of canonical hamiltonian formalism. One of its interesting features is that the physical and auxiliary fields equations appear on equal footing as the Hamilton ones.

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