Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
| dc.creator | Zheltukhin, A. A. | |
| dc.date | 2005-06-15 | |
| dc.date | 2005-06-19 | |
| dc.date.accessioned | 2026-07-07T04:18:24Z | |
| dc.date.available | 2026-07-07T04:18:24Z | |
| dc.description | A supersymmetric Lorentz invariant mechanism for superspace deformations is proposed. It is based on an extension of superspace by one $λ_{a}$ or several Majorana spinors associated with the Penrose twistor picture. Some examples of Lorentz invariant supersymmetric Poisson and Mojal brackets are constructed and the correspondence: $θ_{mn}\leftrightarrow iψ_{m}ψ_{n},\quad C_{ab}\leftrightarrow λ_{a}λ_{b},\quad Ψ^{a}_{m}\leftrightarrow ψ_{m}λ^{a}$ mapping the brackets depending on the constant background into the Lorentz covariant supersymmetric brackets is established. The correspondence reveals the role of the composite anticommuting vector $ψ_{m}=-{1\over 2}(\barθγ_{m}λ)$ as a covariant measure of space-time coordinate noncommutativity. | |
| dc.description | Latex, 16 pages; references added, typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0506127 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0506127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53163 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry | |
| dc.type | text |