2007/12/27 by L.B. Drissi, Drissi, Lalla Btissam, Houda Jehjouh +3 · 1 citation
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.0712.4249
Using embedding of complex curves in the complex projective plane \bfP 2, we develop a non planar topological 3-vertex formalism for topological strings on the family of local Calabi-Yau threefolds X(m,-m,0) =O(m)⊕ O(-m)→ E(t,∞). The base E(t,∞) stands for the degenerate elliptic curve with Kahler parameter t; but a large complex structure μ; i.e | μ| \longrightarrow ∞ . We also give first results regarding A-model topological string amplitudes on X(m,-m,0). The 2D U(1) gauged N=2 supersymmetric sigma models of the degenerate elliptic curve E(t,∞) as well as for the family X(m,-m,0) are studied and the role of D- and F-terms is explicitly exhibited.