Topological SL(2) Gauge Theory on Conifold
| dc.creator | Saidi, El Hassan | |
| dc.date | 2006-01-04 | |
| dc.date.accessioned | 2026-07-07T06:58:16Z | |
| dc.date.available | 2026-07-07T06:58:16Z | |
| dc.description | Using a two component $SL(2) $ isospinor formalism, we study the link between conifold $T^{\ast}\mathbb{S}^{3}$ and q-deformed non commutative holomorphic geometry in complex four dimensions. Then, thinking about conifold as a projective complex three dimension hypersurface embedded in non compact $WP^{5}(1,-1,1,-1,1,-1) $ space and using conifold local isometries, we study topological $SL(2) $ gauge theory on $T^{\ast}\mathbb{S}^{3}$ and its reductions to lower dimension sub-manifolds $T^{\ast}\mathbb{S}^{2}$, $T^{\ast}\mathbb{S}^{1}$ and their real slices. Projective symmetry is also used to build a supersymmetric QFT$%_{4}$ realization of these backgrounds. Extensions for higher dimensions with conifold like properties are explored. \bigskip \textbf{Key words}: Conifold, q-deformation, non commutative complex geometry, topological gauge theory. Nambu like background. | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0601020 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0601020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107291 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Topological SL(2) Gauge Theory on Conifold | |
| dc.type | text |