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Half-flat nilmanifolds

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abstract

We introduce a double complex that can be associated to certain Lie algebras, and show that its cohomology determines an obstruction to the existence of a half-flat SU(3)-structure. We obtain a classification of the 6-dimensional nilmanifolds carrying an invariant half-flat structure.

fields

hep-th 1

years

2019 1

verdicts

CONDITIONAL 1

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