Generalized Kaehler Potentials from Supergravity

Details Generalized Kaehler Potentials from Supergravity Generalized Kaehler Potentials from Supergravity

2007-08-07

arxiv.org/abs/0708.1032v3

Commun.Math.Phys.291:1-30,2009

Physics

High Energy Physics

High Energy Physics - Theory

"38 pages. v3: improved exposition and minor mistakes corrected in sec. 4"

Scientific paper

10.1007/s00220-009-0881-6

We consider supersymmetric N=2 solutions with non-vanishing NS three-form. Building on worldsheet results, we reduce the problem to a single generalized Monge-Ampere equation on the generalized Kaehler potential K recently interpreted geometrically by Lindstrom, Rocek, Von Unge and Zabzine. One input in the procedure is a holomorphic function w that can be thought of as the effective superpotential for a D3 brane probe. The procedure is hence likely to be useful for finding gravity duals to field theories with non-vanishing abelian superpotential, such as Leigh-Strassler theories. We indeed show that a purely NS precursor of the Lunin-Maldacena dual to the beta-deformed N=4 super-Yang-Mills falls in our class.

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