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M-Theory on Eight-Manifolds

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arxiv hep-th/9605053 v1 pith:XSS6GCCK submitted 1996-05-08 hep-th

Katrin Becker , Melanie Becker This is my paper · ORCID
classification hep-th
keywords metricahlercompactificationseight-manifoldsfactorinternalspace-timewarp
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 5 Pith papers

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  4. Quiver Approach to Symmetry Theories

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    An algebraic method using the path algebra of quivers extracts symmetry anomaly data for 5D SCFTs engineered from M-theory on Calabi-Yau cones.

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