On Poisson geometry and supersymmetric sigma models

Abstract

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.

arXiv comment13 pages

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Cited by in corpus (1)

• On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories