Freedom and constraints in the K3 landscape
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 sixdimensional vacua are parameterized by a matrix encoding a lattice contained within the even, selfdual lattice Γ^{3,19}. Mathematical results of Nikulin on lattice embeddings make possible a simple classification of all such solutions. We find that every sixdimensional theory parameterized in this way by a negative semidefinite 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 ``dialamodel'' with desired properties.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2009
 DOI:
 10.1088/11266708/2009/05/066
 arXiv:
 arXiv:0903.0386
 Bibcode:
 2009JHEP...05..066K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 v4: fixed factor of two in tadpole, included effect of FreedWitten anomaly