Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles

Details Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles

2006-12-05

arxiv.org/abs/hep-th/0612030v2

JHEP 0701:051,2007

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 1 figure; v2: references added

Scientific paper

10.1088/1126-6708/2007/01/051

We clarify the relation between six-dimensional Abelian orbifold compactifications of the heterotic string and smooth heterotic K3 compactifications with line bundles for both SO(32) and E_8 x E_8 gauge groups. The T^4/Z_N cases for N=2,3,4 are treated exhaustively, and for N=6 some examples are given. While all T^4/Z_2 and nearly all T^4/Z_3 models have a simple smooth match involving one line bundle only, this is only true for some T^4/Z_4 and T^4/Z_6 cases. We comment on possible matchings with more than one line bundle for the remaining cases. The matching is provided by comparisons of the massless spectra and their anomalies as well as a field theoretic analysis of the blow-ups.

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