2006/01/04 by El Hassan Saidi, Saidi, El Hassan · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0601020
42 pages
arxiv created 2006/01/04 · openalex publication_date 2006/01/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using a two component SL(2) isospinor formalism, we study the link between conifold T∗\mathbbS3 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 WP5(1,-1,1,-1,1,-1) space and using conifold local isometries, we study topological SL(2) gauge theory on T∗\mathbbS3 and its reductions to lower dimension sub-manifolds T∗\mathbbS2, T∗\mathbbS1 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 Key words: Conifold, q-deformation, non commutative complex geometry, topological gauge theory. Nambu like background.