Supersymmetric Electromagnetic Waves on Giants and Dual-Giants

TL;DR

This paper derives BPS equations for D3-branes in AdS_5 x S^5, revealing electromagnetic wave solutions on giant and dual-giant configurations, extending previous models with new world-volume dynamics.

Contribution

It introduces generalized giant and dual-giant solutions with electromagnetic waves, expanding the understanding of supersymmetric D3-brane configurations in AdS/CFT.

Findings

Electromagnetic waves propagate on giant and dual-giant branes.

BPS field strength relates to holomorphic 2-forms in ambient space.

Generalized solutions include wobbling and electromagnetic excitations.

Abstract

We set up the BPS equations for a D3-brane moving in AdS_5 \times S^5 which preserves two supercharges and with all bosonic fields turned on in the world-volume theory. By solving these, we find generalizations of Mikhailov giants and wobbling dual-giants that include electromagnetic waves propagating on their world-volume. For these giants (dual-giants) we show that the BPS field strength is the real part of the pull-back of a holomorphic 2-form in the ambient space C^3 (C^{1,2}) onto the world-volume.