2007/08/31 by Nick Halmagyi, Alessandro Tomasiello · 41 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual polyhedron #Holomorphic function #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Supergravity #Superpotential #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1007/s00220-009-0881-6
published in Communications in Mathematical Physics 291(1), 1-30 (Springer Science+Business Media) · "38 pages. v3: improved exposition and minor mistakes corrected in sec. 4"
arxiv created 2008/11/24 · openalex publication_date 2009/07/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.