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We apply the Lunin--Maldacena construction of gravity duals to beta-deformedgauge theories to a class of Type IIB backgrounds with U(1)^3 global symmetry,which include the multicenter D3-brane backgrounds dual to the Coulomb branchof N=4 super Yang-Mills and the rotating D3-brane backgrounds dual to thetheory at finite temperature and chemical potential. After a generaldiscussion, we present the full form of the deformed metrics for three specialcases, which can be used for the study of various aspects of themarginally-deformed gauge theories. We also construct the Penrose limits of thesolutions dual to the Coulomb branch along a certain set of geodesics and, forthe resulting PP--wave metrics, we examine the effect of beta-deformations onthe giant graviton states. We find that giant gravitons exist only up to acritical value of the sigma-deformation parameter, are not degenerate in energywith the point graviton, and remain perturbatively stable. Finally, we probethe sigma-deformed multicenter solutions by examining the static heavy-quarkpotential by means of Wilson loops. We find situations that give rise tocomplete screening as well as linear confinement, with the latter arising is anintriguing way reminiscent of phase transitions in statistical systems.

Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons