Giants on Deformed Backgrounds Part II: The Gauge Field Fluctuations

We study the full bosonic spectrum around giant and dual giant graviton probes in exactly marginally deformed backgrounds. Considering supersymmetric and non–supersymmetric three–parameter deformations of AdS5 × S, we perform a detailed analysis of small fluctuations for both the expanded D3–brane configurations. In particular, we enhance the scalar spectra of frequencies found in our previous paper hep-th/0609173 with the important contributions brought by the gauge field fluctuations. The giant graviton case exhibits a non–trivial coupling between scalar and vector modes driven by the deformation, whose resolution yields to a universal correction of the undeformed spectrum. On the other hand, dual giant vibrations turn out to be completely decoupled. From our results one can also easily read the gauge field fluctuations in the undeformed (dual) giant graviton scenario.