Freedom and Constraints in the K3 Landscape

Details Freedom and Constraints in the K3 Landscape Freedom and Constraints in the K3 Landscape

2009-03-03

arxiv.org/abs/0903.0386v3

JHEP 0905:066,2009

Physics

High Energy Physics

High Energy Physics - Theory

v3: minor corrections and clarifications, final version for JHEP publication

Scientific paper

10.1088/1126-6708/2009/05/066

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 which encodes 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 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.

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