Antibrackets, Supersymmetric $σ$-Model and Localization

Details Antibrackets, Supersymmetric $σ$-Model and Localization Antibrackets, Supersymmetric $σ$-Model and Localization

1996-06-14

arxiv.org/abs/hep-th/9606083v1

Phys.Lett. B388 (1996) 309-314

Physics

High Energy Physics

High Energy Physics - Theory

9, pages, standard LaTex

Scientific paper

10.1016/S0370-2693(96)01169-0

We consider supersymmetrization of Hamiltonian dynamics via antibrackets for systems whose Hamiltonian generates an isometry of the phase space. We find that the models are closely related to the supersymmetric non-linear $\sigma$-model. We interpret the corres\-ponding path integrals in terms of super loop space equivariant cohomology. It turns out that they can be evaluated exactly using localizations techniques.

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