Classifying solutions to Romans supergravity with a zero B-field
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.
KeywordsAdS-CFT Correspondence Supergravity Models Gauge-gravity correspondence Supersymmetry and Duality
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