On Poisson geometry and supersymmetric sigma models

Ctirad Klimcik (1)

1 I2M - Institut de Mathématiques de Marseille

By using the Poisson geometry, we develop a manifestly invariant and calculation-friendly formalism for handling U OSp(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 U OSp(2|1) action. As an application of this formalism, we construct the Kalb-Ramond term for supersymmetric sigma models on the supersphere.

Domaines: Physique mathématique [math-ph]

Ctirad Klimcik. On Poisson geometry and supersymmetric sigma models. Modern Physics Letters A, 2012, 27 (37), pp.1250216. ⟨10.1142/S0217732312502161⟩. ⟨hal-01267669⟩