English

On Poisson geometry and supersymmetric sigma models

High Energy Physics - Theory 2012-11-20 v1 Mathematical Physics math.MP

Abstract

By using the Poisson geometry, we develop a manifestly invariant and calculation-friendly formalism for handling UOSp(21)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(21)UOSp(2|1) action. As an application of this formalism, we construct the Kalb-Ramond term for supersymmetric sigma models on the supersphere.

Keywords

Cite

@article{arxiv.1204.4654,
  title  = {On Poisson geometry and supersymmetric sigma models},
  author = {Ctirad Klimcik},
  journal= {arXiv preprint arXiv:1204.4654},
  year   = {2012}
}

Comments

13 pages

R2 v1 2026-06-21T20:52:41.060Z