Geometric Transitions, del Pezzo Surfaces and Open String Instantons

Duiliu-Emanuel Diaconescu; Bogdan Florea; Antonella Grassi

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arXiv · hep-th/0206163

Geometric Transitions, del Pezzo Surfaces and Open String Instantons

Duiliu-Emanuel Diaconescu·Bogdan Florea·Antonella Grassi

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Abstract

We 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.

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Duiliu-Emanuel Diaconescu, Bogdan Florea, Antonella Grassi. 2003-12-27. Geometric Transitions, del Pezzo Surfaces and Open String Instantons. https://arxiv.org/abs/hep-th/0206163

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