Solving the Topological String on K3 Fibrations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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60 pages, 1 figure, With an appendix by Sheldon Katz

Scientific paper

10.1007/JHEP01(2010)009

We present solutions of the holomorphic anomaly equations for compact two-parameter Calabi-Yau manifolds which are hypersurfaces in weighted projective space. In particular we focus on K3-fibrations where due to heterotic type II duality the topological invariants in the fibre direction are encoded in certain modular forms. The formalism employed provides holomorphic expansions of topological string amplitudes everywhere in moduli space.

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