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arXiv · 1906.01660

Classifying solutions to Romans supergravity with a zero B-field

Carolina Matté Gregory
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Abstract

Expanding on previous papers, we continue studying Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. Using a set of differential constraints on a $SU(2)$ structure, we look for further geometric solutions to such equations when we turn off the two-form potential B. We find that the six-dimensional space is described by a two-dimensional fibration over a four-dimensional manifold with a Kähler metric. We then classify these types of solutions.

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Carolina Matté Gregory. 2019-06-25. Classifying solutions to Romans supergravity with a zero B-field. https://arxiv.org/abs/1906.01660

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