M-Theory on Eight-Manifolds

Details M-Theory on Eight-Manifolds M-Theory on Eight-Manifolds

1996-05-08

arxiv.org/abs/hep-th/9605053v1

Nucl.Phys. B477 (1996) 155-167

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, harvmac

Scientific paper

10.1016/0550-3213(96)00367-7

We show that in certain compactifications of ${\cal M}$-theory on eight-manifolds to three-dimensional Minkowski space-time the four-form field strength can have a non-vanishing expectation value, while an $N=2$ 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 K\"ahler, it can be conformally transformed to a metric that is K\"ahler and Ricci flat, so that the internal manifold has $SU(4)$ holonomy.

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