paper

M-Theory on Eight-Manifolds

arXiv:hep-th/9605053 · doi:10.1016/0550-3213(96)00367-7

Abstract

We show that in certain compactifications of -theory on eight-manifolds to three-dimensional Minkowski space-time the four-form field strength can have a non-vanishing expectation value, while an supersymmetry is preserved. For these compactifications a warp factor for the metric has to be taken into account. This warp factor is non-trivial in three space-time dimensions due to Chern-Simons corrections to the fivebrane Bianchi identity. While the original metric on the internal space is not Kähler, it can be conformally transformed to a metric that is Kähler and Ricci flat, so that the internal manifold has holonomy.

16 pages, harvmac

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