Counting Wobbling Dual-Giants

Abstract

We derive the BPS equations for D3-branes embedded in AdS_5 X S^5 that preserve at least two supercharges. These are given in terms of conditions on the pullbacks of some space-time differential four-forms. Solutions to our equations are shown to describe all the known giant and dual-giant gravitons in AdS_5 X S^5. We then argue that the configuration spaces of dual-giants can be mapped to non-compact hyperbolic versions of complex projective spaces, in contrast with the giants, whose configuration spaces have been mapped to complex projective spaces. We quantize the configuration space of the 1/8-BPS dual-giants with two angular momenta in AdS_5 and one angular momentum in S^5 and find agreement with the partition function in the literature obtained both from counting appropriate 1/8-BPS configurations of giants and the boundary gauge theory considerations.

36 pages

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• Holographic M5 branes in $Ad{S}_7\times S^4$
• Supersymmetric Electromagnetic Waves on Giants and Dual-Giants
• On BPS Strings in $\mathcal{N}=4$ Yang-Mills Theory
• $\kappa$-symmetric M5 brane web for defects in $Ad{S}_7/CF{T}_6$ holography