Giants on deformed backgrounds

Abstract

We study giant graviton probes in the framework of the three-parameter deformation of the AdS 5 × S 5 background. We examine both the case when the brane expands in the deformedS 5 part of the geometry and the case when it blows up into AdS 5 . Performing a detailed analysis of small fluctuations around the giants, the configurations turn out to be stable. Our results hold even for the supersymmetric Lunin-Maldacena deformation.

Giants on deformed backgrounds Part II: the gauge field fluctuations

“…As anticipated, we find a coupling between scalars and vectors which can be handled with a field redefinition similar to the one so useful in [7]. Having performed this simplification, we obtain a universal and nice dependence on the deformation parameters in all the bosonic fluctuations, previously missed in [1]. More precisely, all the undeformed frequencies are shifted by the same deformation-dependent quantity and the parameters γ 2,3 , associated to TsT transformations along the tori with a direction orthogonal to the probe brane, always appear in the complete spectrum.…”

“…The dual giant graviton story is instead the same as in [1]. We find no coupling between scalar and vector modes since the brane now expands in AdS.…”

“…is exactly the R-R four-form of the undeformed AdS 5 × S 5 spacetime [1]. The supersymmetric Lunin-Maldacena background [2] can be recovered by settingγ 1 =γ 2 =γ 3 .…”

“…We now follow [1] and review the introduction of stable D3-brane giant and dual giant graviton configurations in these deformed backgrounds. The dynamics of bosonic degrees of freedom of a D3-brane is described by the action…”

“…In [1], the possible formation of (dual) giant gravitons was analyzed in the nonsupersymmetric three-parameter γ i -deformation of the AdS 5 × S 5 background [3]. A trivial translation of the results to the superconformal Lunin-Maldacena deformation [2] was obtained by simply setting γ i = γ.…”