Generalized holonomy of M-theory vacua

Details Generalized holonomy of M-theory vacua Generalized holonomy of M-theory vacua

2003-12-15

arxiv.org/abs/hep-th/0312165v1

Nucl.Phys. B726 (2005) 275-293

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX

Scientific paper

The number of M-theory vacuum supersymmetries, 0 <= n <= 32, is given by the number of singlets appearing in the decomposition of the 32 of SL(32,R) under H \subset SL(32,R) where H is the holonomy group of the generalized connection which incorporates non-vanishing 4-form. Here we compute this generalized holonomy for the n=16 examples of the M2-brane, M5-brane, M-wave, M-monopole, for a variety of their n=8 intersections and also for the n>16 pp waves.

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