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

E. Ivanov; F. Toppan

doi:10.1142/s0217732394000071

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arXiv · hep-th/9310062

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

E. Ivanov·F. Toppan

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Abstract

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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E. Ivanov, F. Toppan. 1993-10-12. Superhamiltonian formalism for $2D$ $N=1,2$ theories. https://doi.org/10.1142/s0217732394000071

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