Freedom and constraints in the K3 landscape
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Taylor_Freedom and.pdf
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Author(s)
Kumar, Vijay
Taylor, Washington
Date Issued
May 2009
Journal
Journal of High Energy Physics
Publisher
IOP Publishing
Citation
Kumar, Vijay, and Washington Taylor. “Freedom and Constraints in the K3 Landscape.” Journal of High Energy Physics 2009.05 (2009): 066–066.
Version
Author's final manuscript
Abstract
We consider ``magnetized brane'' compactifications of the type I/heterotic string on K3 with U(1) background fluxes. The 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 Γ[superscript 3,19]. Mathematical results of Nikulin on lattice embeddings make possible a simple classification of all such solutions. We find that every six-dimensional theory parameterized in this way by a negative semi-definite matrix whose trace satisfies a simple tadpole constraint can be realized as a K3 compactification. This approach makes it possible to explicitly and efficiently construct all models in this class with any particular allowed gauge group and matter content, so that one can immediately ``dial-a-model'' with desired properties.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1088/1126-6708/2009/05/066
