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.

Minasian, R., Petrini, M., Zaffaroni, A. (2006). Gravity duals to deformed SYM theories and generalized complex geometry. JOURNAL OF HIGH ENERGY PHYSICS, 2006(12), 55 [10.1088/1126-6708/2006/12/055].

Gravity duals to deformed SYM theories and generalized complex geometry

ZAFFARONI, ALBERTO
2006

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.
Articolo in rivista - Articolo scientifico
gauge-gravity correspondence; flux compactifications
English
2006
2006
12
55
none
Minasian, R., Petrini, M., Zaffaroni, A. (2006). Gravity duals to deformed SYM theories and generalized complex geometry. JOURNAL OF HIGH ENERGY PHYSICS, 2006(12), 55 [10.1088/1126-6708/2006/12/055].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/343
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