On Fractional Instanton Numbers in Six Dimensional Heterotic E8 x E8 Orbifolds

Details On Fractional Instanton Numbers in Six Dimensional Heterotic E8 x E8 Orbifolds On Fractional Instanton Numbers in Six Dimensional Heterotic E8 x E8 Orbifolds

2000-09-29

arxiv.org/abs/hep-th/0009251v2

JHEP 0011 (2000) 022

Physics

High Energy Physics

High Energy Physics - Theory

latex2e, 12 pages; reference and comments added

Scientific paper

10.1088/1126-6708/2000/11/022

We derive the precise relation between level matching condition and fractional instanton numbers in six dimensional, abelian and supersymmetric orbifolds of E8 x E8 heterotic string theory. The fractional part of the two E8 instanton numbers is explicitly calculated in terms of the gauge twist. This relation is then used to show that the classification of these orbifolds can be given in terms of flat bundles away from the orbifold singularities under the only constraint that the sum of the fractional parts of the gauge instanton numbers match the fractional part of the gravitational instanton number locally at every fixed point. This directly carries over to M-theory on S^1/Z_2

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