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Solving the topological string on K3 fibrations

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Abstract

We present solutions of the holomorphic anomaly equations for compact twoparameter 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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  1. Physikalisches Institut der Universität Bonn and Bethe Center for Theoretical Physics, Nußallee 12, 53115, Bonn, Germany

    Babak Haghighat & Albrecht Klemm

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  1. Babak Haghighat
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  2. Albrecht Klemm
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Correspondence to Babak Haghighat.

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ArXiv ePrint: 0908.0336v1

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Haghighat, B., Klemm, A. Solving the topological string on K3 fibrations. J. High Energ. Phys. 2010, 9 (2010). https://doi.org/10.1007/JHEP01(2010)009

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