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02 November 2024
 
  » arxiv » hep-th/9605053

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M-Theory on Eight-Manifolds
Katrin Becker ; Melanie Becker ;
Date 8 May 1996
Journal Nucl.Phys. B477 (1996) 155-167
Subject hep-th
AbstractWe 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 Kähler, it can be conformally transformed to a metric that is Kähler and Ricci flat, so that the internal manifold has $SU(4)$ holonomy.
Source arXiv, hep-th/9605053
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