Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-12
Nucl.Phys.B819:35-75,2009
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, 4 figures. v2: an example in Subsection 4.3 added, a footnote in Subsection 4.4 added, minor errors in Appendix E co
Scientific paper
We study topological strings on local toric del Pezzo surfaces by a method called remodeling the B-model which was recently proposed by Bouchard, Klemm, Marino and Pasquetti. For a large class of local toric del Pezzo surfaces we prove a functional formula of the Bergman kernel which is the basic constituent of the topological string amplitudes by the topological recursion relation of Eynard and Orantin. Because this formula is written as a functional of the period, we can obtain the topological string amplitudes at any point of the moduli space by a simple change of variables of the Picard-Fuchs equations for the period. By this formula and mirror symmetry we compute the A-model amplitudes on K_{F_2}, and predict the open orbifold Gromov-Witten invariants of C^3/Z_4.
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