Geometric Transitions, del Pezzo Surfaces and Open String Instantons

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dc.creatorDiaconescu, Duiliu-Emanuel
dc.creatorFlorea, Bogdan
dc.creatorGrassi, Antonella
dc.date2002-06-18
dc.date2003-12-27
dc.date.accessioned2026-07-07T04:13:42Z
dc.date.available2026-07-07T04:13:42Z
dc.descriptionWe continue the study of a class of geometric transitions proposed by Aganagic and Vafa which exhibit open string instanton corrections to Chern-Simons theory. In this paper we consider an extremal transition for a local del Pezzo model which predicts a highly nontrivial relation between topological open and closed string amplitudes. We show that the open string amplitudes can be computed exactly using a combination of enumerative techniques and Chern-Simons theory proposed by Witten some time ago. This yields a striking conjecture relating the topological amplitudes of all genus of the local del Pezzo model to a system of coupled Chern-Simons theories.
dc.description62 pages, 3 figures, published version
dc.identifierhttps://arxiv.org/abs/hep-th/0206163
dc.identifierhttp://arxiv.org/abs/hep-th/0206163
dc.identifierAdv.Theor.Math.Phys. 6 (2003) 643-702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51360
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.titleGeometric Transitions, del Pezzo Surfaces and Open String Instantons
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