Non Planar Topological 3-Vertex Formalism

dc.creatorDrissi, Lalla Btissam
dc.creatorJehjouh, Houda
dc.creatorSaidi, El Hassan
dc.date2007-12-27
dc.date2008-05-08
dc.date.accessioned2026-07-07T09:37:26Z
dc.date.available2026-07-07T09:37:26Z
dc.descriptionUsing embedding of complex curves in the complex projective plane $\bf{P }^{2}$, we develop a \emph{non planar} topological 3-vertex formalism for topological strings on the family of local Calabi-Yau threefolds $X^{(m,-m,0) }=\mathcal{O}(m)\oplus \mathcal{O}(-m)\to E^{(t,\infty)}$. The base $E^{(t,\infty)}$ stands for the degenerate elliptic curve with Kahler parameter $t$; but a large complex structure $μ$; i.e $| μ| \longrightarrow \infty $. We also give first results regarding A-model topological string amplitudes on $X^{(m,-m,0)}$. The 2D $U(1) $ gauged $\mathcal{N}=2$ supersymmetric sigma models of the degenerate elliptic curve $ E^{(t,\infty)}$ as well as for the family $X^{(m,-m,0)}$ are studied and the role of D- and F-terms is explicitly exhibited.
dc.description43 pages, 12 figures, To appear in NPB
dc.identifierhttps://arxiv.org/abs/0712.4249
dc.identifierhttp://arxiv.org/abs/0712.4249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160457
dc.subjectHigh Energy Physics - Theory
dc.titleNon Planar Topological 3-Vertex Formalism
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