Poisson-Lie T-dual sigma models on supermanifolds
Jan, 2009Citations per year
Abstract: (arXiv)
We investigate Poisson-Lie symmetry for T-dual sigma models on supermanifolds in general and on Lie supergroups in particular. We show that the integrability condition on this super Poisson-Lie symmetry is equivalent to the super Jacobi identities of the Lie super-bialgebras. As an example for a two dimensional Lie super-bialgebra, it is shown that the super Poisson-Lie T-duality transforms bosonic field in the model to fermionic one on the dual model, i.e. it acts as supersymmetry.Note:
- 8 pages
- T-duality
- algebra: Lie
- sigma model: nonlinear
- Jacobi identity
- integrability
- supersymmetry
- dimension: 2
- superspace
- group theory
- differential forms
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