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arXiv · 0708.1032

Generalized Kaehler Potentials from Supergravity

Nick Halmagyi·Alessandro Tomasiello
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Abstract

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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Nick Halmagyi, Alessandro Tomasiello. 2008-11-24. Generalized Kaehler Potentials from Supergravity. https://doi.org/10.1007/s00220-009-0881-6

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