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arXiv · hep-th/0606257

Gravity duals to deformed SYM theories and Generalized Complex Geometry

Ruben Minasian·Michela Petrini·Alberto Zaffaroni
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Abstract

We analyze the supersymmetry conditions for a class of SU(2) structure backgrounds of Type IIB supergravity, corresponding to a specific ansatz for the supersymmetry parameters. These backgrounds are relevant for the AdS/CFT correspondence since they are suitable to describe mass deformations or beta-deformations of four-dimensional superconformal gauge theories. Using Generalized Complex Geometry we show that these geometries are characterized by a closed nowhere-vanishing vector field and a modified fundamental form which is also closed. The vector field encodes the information about the superpotential and the type of deformation - mass or beta respectively. We also show that the Pilch-Warner solution dual to a mass-deformation of N =4 Super Yang-Mills and the Lunin-Maldacena beta-deformation of the same background fall in our class of solutions.

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Ruben Minasian, Michela Petrini, Alberto Zaffaroni. 2006-06-27. Gravity duals to deformed SYM theories and Generalized Complex Geometry. https://doi.org/10.1088/1126-6708%2F2006%2F12%2F055

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