Physics NotePublished
One-dimensional -models with off-shell supersymmetries
Publication details
- Authors
- —
- Type
- Physics Note
- Status
- Published
- Publication date
- 16/01/2009
- Description
- We computed the actions for the $1D$ $N=5$ $\sigma$-models with respect to the two inequivalent $(2,8,6)$ multiplets. $4$ supersymmetry generators are manifest, while the constraint originated by imposing the $5$-th supersymmetry automatically induces a full $N=8$ off-shell invariance. The resulting action coincides in the two cases and corresponds to a conformally flat $2D$ target satisfying a special geometry of rigid type. \par To obtain these results we developed a computational method (for {\em Maple 11}) which does not require the notion of superfields and is instead based on the nowadays available list of the inequivalent representations of the $1D$ $N$-extended supersymmetry. Its application to systematically analyze the $\sigma$-models off-shell invariant actions for the remaining $N=5,6,7,8$ $(k,8,8-k)$ multiplets, as well as for the $N>8$ representations, only requires more cumbersome computations.
- Year
- 2008
- Linked to a thesis
- No
- Linked to a grant
- No