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Gravity duals to deformed SYM theories and Generalized Complex Geometry

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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00101587
Contributor : Michela Petrini Connect in order to contact the contributor
Submitted on : Wednesday, September 27, 2006 - 3:56:08 PM
Last modification on : Sunday, June 26, 2022 - 5:24:55 AM

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Ruben Minasian, Michela Petrini, Alberto Zaffaroni. Gravity duals to deformed SYM theories and Generalized Complex Geometry. 2006. ⟨hal-00101587⟩

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