Large N Duality for Compact Calabi-Yau Threefolds

Details Large N Duality for Compact Calabi-Yau Threefolds Large N Duality for Compact Calabi-Yau Threefolds

2003-02-11

arxiv.org/abs/hep-th/0302076v3

Adv.Theor.Math.Phys. 9 (2005) 31-128

Physics

High Energy Physics

High Energy Physics - Theory

88 pages, 14 figures (11 color); v2: minor changes; v3: published version

Scientific paper

We study geometric transitions for topological strings on compact Calabi-Yau hypersurfaces in toric varieties. Large N duality predicts an equivalence between topological open and closed string theories connected by an extremal transition. We develop new open string enumerative techniques and perform a high precision genus zero test of this conjecture for a certain class of toric extremal transitions. Our approach is based on a) an open string version of Gromov-Witten theory with convex obstruction bundle and b) an extension of Chern-Simons theory treating the framing as a formal variable.

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