Comment on the Generation Number in Orbifold Compactifications

Details Comment on the Generation Number in Orbifold Compactifications Comment on the Generation Number in Orbifold Compactifications

1992-07-31

arxiv.org/abs/hep-th/9207111v1

Commun.Math.Phys.153:579-604,1993

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 9 figures not included, available in postscript at request

Scientific paper

10.1007/BF02096954

There has been some confusion concerning the number of $(1,1)$-forms in orbifold compactifications of the heterotic string in numerous publications. In this note we point out the relevance of the underlying torus lattice on this number. We answer the question when different lattices mimic the same physics and when this is not the case. As a byproduct we classify all symmetric $Z_N$-orbifolds with $(2,2)$ world sheet supersymmetry obtaining also some new ones.

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