Thursday, June 28, 2012

0903.0386 (Vijay Kumar et al.)

Freedom and Constraints in the K3 Landscape    [PDF]

Vijay Kumar, Washington Taylor
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 Gamma^{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 class with a particular allowed gauge group and matter content, so that one can immediately "dial-a-model" with desired properties.
View original: http://arxiv.org/abs/0903.0386

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