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January 2006 ${\rm SU}(N)$ geometries and topological string amplitudes
Amer Iqbal, Amir-Kian Kashani-Poor
Adv. Theor. Math. Phys. 10(1): 1-32 (January 2006).


It has been conjectured recently that the field theory limit of the topological string partition functions, including all higher genus contributions, for the family of CY3-folds giving rise to $\mathcal{N}=2$ 4D $SU(N)$ gauge theory via geometric engineering can be obtained from gauge instanton calculus. We verify this surprising conjecture by calculating the partition functions for such local CYs using diagrammatic techniques inspired by geometric transitions. Determining the Gopakumar-Vafa invariants for these geometries to all orders in the fiber wrappings allows us to take the field theory limit.


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Amer Iqbal. Amir-Kian Kashani-Poor. "${\rm SU}(N)$ geometries and topological string amplitudes." Adv. Theor. Math. Phys. 10 (1) 1 - 32, January 2006.


Published: January 2006
First available in Project Euclid: 30 July 2006

zbMATH: 1101.81088
MathSciNet: MR2222220

Primary: 81T30
Secondary: 81T13 , 81T45

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 1 • January 2006
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