Advances in Theoretical and Mathematical Physics

${\rm SU}(N)$ geometries and topological string amplitudes

Amer Iqbal and Amir-Kian Kashani-Poor

Full-text: Open access

Abstract

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.

Article information

Source
Adv. Theor. Math. Phys., Volume 10, Number 1 (2006), 1-32.

Dates
First available in Project Euclid: 30 July 2006

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1154236236

Mathematical Reviews number (MathSciNet)
MR2222220

Zentralblatt MATH identifier
1101.81088

Subjects
Primary: 81T30: String and superstring theories; other extended objects (e.g., branes) [See also 83E30]
Secondary: 81T13: Yang-Mills and other gauge theories [See also 53C07, 58E15] 81T45: Topological field theories [See also 57R56, 58Dxx]

Citation

Iqbal, Amer; Kashani-Poor, Amir-Kian. ${\rm SU}(N)$ geometries and topological string amplitudes. Adv. Theor. Math. Phys. 10 (2006), no. 1, 1--32. https://projecteuclid.org/euclid.atmp/1154236236


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