Fe b 20 07 CERN-PH-TH / 2007-039 MAD-TH-07-04 Direct Integration of the Topological String

@inproceedings{Grimm2007FeB2,
  title={Fe b 20 07 CERN-PH-TH / 2007-039 MAD-TH-07-04 Direct Integration of the Topological String},
  author={Thomas W. Grimm and Albrecht Klemm and Marcos Mari{\~n}o and Marlene Weiss},
  year={2007}
}
We present a new method to solve the holomorphic anomaly equations governing the free energies of type B topological strings. The method is based on direct integration with respect to the non–holomorphic dependence of the amplitudes, and relies on the interplay between non–holomorphicity and modularity properties of the topological string amplitudes. We develop a formalism valid for any Calabi–Yau manifold and we study in detail two examples, providing closed expressions for the amplitudes at… CONTINUE READING

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