Freedom and Constraints in the K3 Landscape

@article{Kumar2009FreedomAC,
  title={Freedom and Constraints in the K3 Landscape},
  author={Vijaya Kumar and Washington Taylor},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2009},
  pages={066-066}
}
We consider "magnetized brane" compactifications of the type I/heterotic string on K3 with U(1) background fluxes. The nonabelian gauge group and matter content of the resulting six-dimensional vacua are parameterized by a matrix encoding a lattice contained within the even, self-dual lattice 3,19 . Mathematical results of Nikulin on lattice embeddings make possible a simple classification of such solutions. This approach makes it possible to explicitly and efficiently construct models in this… 

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