Solving the Topological String on K3 Fibrations
High Energy Physics - Theory
2010-01-22 v1
Abstract
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.
Cite
@article{arxiv.0908.0336,
title = {Solving the Topological String on K3 Fibrations},
author = {Babak Haghighat and Albrecht Klemm},
journal= {arXiv preprint arXiv:0908.0336},
year = {2010}
}
Comments
60 pages, 1 figure, With an appendix by Sheldon Katz