On Poisson geometry and supersymmetric sigma models

Details On Poisson geometry and supersymmetric sigma models On Poisson geometry and supersymmetric sigma models

2012-04-20

arxiv.org/abs/1204.4654v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

By using the Poisson geometry, we develop a manifestly invariant and calculation-friendly formalism for handling $UOSp(2|1)$-supersymmetric field theories. In particular, the super-Langrangians are written solely in terms of superfields, Poisson brackets and the moment map generating the $UOSp(2|1)$ action. As an application of this formalism, we construct the Kalb-Ramond term for supersymmetric sigma models on the supersphere.

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