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Geometric Transitions and Open String Instantons

Duiliu-Emanuel Diaconescu·Bogdan Florea·Antonella Grassi
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Abstract

We investigate the physical and mathematical structure of a new class of geometric transitions proposed by Aganagic and Vafa. The distinctive aspect of these transitions is the presence of open string instanton corrections to Chern-Simons theory. We find a precise match between open and closed string topological amplitudes applying a beautiful idea proposed by Witten some time ago. The closed string amplitudes are reproduced from an open string perspective as a result of a fascinating interplay of enumerative techniques and Chern-Simons computations.

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Duiliu-Emanuel Diaconescu, Bogdan Florea, Antonella Grassi. 2003-12-27. Geometric Transitions and Open String Instantons. https://arxiv.org/abs/hep-th/0205234

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