A Vertex Formalism for Local Ruled Surfaces

Details A Vertex Formalism for Local Ruled Surfaces A Vertex Formalism for Local Ruled Surfaces

2005-05-23

arxiv.org/abs/hep-th/0505192v3

Commun.Math.Phys. 265 (2006) 201-226

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 12 figures; v2: minor changes; v3: explanations added, results unchanged

Scientific paper

10.1007/s00220-006-1533-8

We develop a vertex formalism for topological string amplitudes on ruled surfaces with an arbitrary number of reducible fibers embedded in a Calabi-Yau threefold. Our construction is based on large N duality and localization with respect to a degenerate torus action. We also discuss potential generalizations of our formalism to a broader class of Calabi-Yau threefolds using the same underlying principles.

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