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January 2005 Large $N$ duality for compact Calabi-Yau threefolds
Duiliu-Emanuel Diaconescu, Bogdan Florea
Adv. Theor. Math. Phys. 9(1): 31-128 (January 2005).


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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Duiliu-Emanuel Diaconescu. Bogdan Florea. "Large $N$ duality for compact Calabi-Yau threefolds." Adv. Theor. Math. Phys. 9 (1) 31 - 128, January 2005.


Published: January 2005
First available in Project Euclid: 29 March 2006

zbMATH: 1169.14322
MathSciNet: MR2193369

Primary: 14J32
Secondary: 32Qxx

Rights: Copyright © 2005 International Press of Boston

Vol.9 • No. 1 • January 2005
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