Gravity duals to deformed SYM theories and Generalized Complex Geometry

Details Gravity duals to deformed SYM theories and Generalized Complex Geometry Gravity duals to deformed SYM theories and Generalized Complex Geometry

2006-06-27

arxiv.org/abs/hep-th/0606257v1

JHEP0612:055,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 29 pages

Scientific paper

10.1088/1126-6708/2006/12/055

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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