On Poisson geometry and supersymmetric sigma models
arXiv:1204.4654 · doi:10.1142/S0217732312502161
Abstract
By using the Poisson geometry, we develop a manifestly invariant and calculation-friendly formalism for handling -supersymmetric field theories. In particular, the super-Langrangians are written solely in terms of superfields, Poisson brackets and the moment map generating the action. As an application of this formalism, we construct the Kalb-Ramond term for supersymmetric sigma models on the supersphere.
13 pages