A Note on Compactifications on Spin(7)-Holonomy Manifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, TeX, expanded version, one statement corrected

Scientific paper

10.1088/1126-6708/2001/05/003

In this note we consider compactifications of ${\cal M}$-theory on
$Spin(7)$-holonomy manifolds to three-dimensional Minkowski space. In these
compactifications a warp factor is included. The conditions for unbroken N=1
supersymmetry give rise to determining equations for the 4-form field strength
in terms of the warp factor and the self-dual 4-form of the internal manifold.

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