A "Periodic Table" for Supersymmetric M-Theory Compactifications

Details A "Periodic Table" for Supersymmetric M-Theory Compactifications A "Periodic Table" for Supersymmetric M-Theory Compactifications

2002-08-04

arxiv.org/abs/hep-th/0208030v1

J.Math.Phys.44:2853-2873,2003

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, latex

Scientific paper

10.1063/1.1581972

We develop a systematic method for classifying supersymmetric orbifold compactifications of M-theory. By restricting our attention to abelian orbifolds with low order, in the special cases where elements do not include coordinate shifts, we construct a "periodic table" of such compactifications, organized according to the orbifolding group (order up to 12) and dimension (up to 7). An intriguing connection between supersymmetric orbifolds and G2-structures is explored.

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