Geometric Transitions and Open String Instantons

Details Geometric Transitions and Open String Instantons Geometric Transitions and Open String Instantons

2002-05-23

arxiv.org/abs/hep-th/0205234v5

Adv.Theor.Math.Phys. 6 (2003) 619-642

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 4 figures, published version

Scientific paper

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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