Antibrackets, supersymmetric σ-model and localization

Mauri Miettinen
1996 Physics Letters B  
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 σ-model. We interpret the corresponding path integrals in terms of super loop space equivariant cohomology. It turns out that they can be evaluated exactly using localizations techniques.
doi:10.1016/s0370-2693(96)01169-0 fatcat:z5k7f5wrrfdsrb4w2odpvludv4