Super-Hamiltonian formalism for \(2\)D\(N=1,2\) theories

DOI10.1142/S0217732394000071zbMATH Open1021.81921arXivhep-th/9310062MaRDI QIDQ2727928

E. A. Ivanov, F. Toppan

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-th/9310062

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60)

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