Giants on Deformed Backgrounds Part II: The Gauge Field Fluctuations

TL;DR

This paper analyzes the full bosonic fluctuation spectrum, including gauge fields, around giant and dual giant gravitons in deformed AdS_5 x S^5 backgrounds, revealing universal corrections and mode couplings due to deformation.

Contribution

It provides a detailed analysis of gauge field fluctuations around giant gravitons in deformed backgrounds, extending previous scalar spectrum results and uncovering universal spectral corrections.

Findings

Gauge field fluctuations enhance the scalar spectra.

Deformation induces non-trivial coupling between scalar and vector modes.

Dual giant vibrations remain decoupled from gauge fields.

Abstract

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 AdS_5 X S^5, 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.