The Vertex on a Strip

Details The Vertex on a Strip The Vertex on a Strip

2004-10-15

arxiv.org/abs/hep-th/0410174v2

Adv.Theor.Math.Phys. 10 (2006) 317-343

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 12 figures; v2: minor corrections, version to appear in ATMP

Scientific paper

We demonstrate that for a broad class of local Calabi-Yau geometries built around a string of IP^1's - those whose toric diagrams are given by triangulations of a strip - we can derive simple rules, based on the topological vertex, for obtaining expressions for the topological string partition function in which the sums over Young tableaux have been performed. By allowing non-trivial tableaux on the external legs of the corresponding web diagrams, these strips can be used as building blocks for more general geometries. As applications of our result, we study the behavior of topological string amplitudes under flops, as well as check Nekrasov's conjecture in its most general form.

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